In the raster calculator you could use: Float('slope' * 3. If you tap into you basic counting nature, it gets easier. Use this page to learn how to convert between degrees and radians. In radians, this is equivalent to (pi/2) + pi(n) radians. From the author. Atan2() ' Math. Then multiply the measurement in radians by 180 divided by pi. 1b Angles in Degrees and Radians February 11, 2013 Angles in degrees and radians Angle initial side terminal side Standard position positive angles negative angles coterminal angles 1. Φ = 360 θ / (2 π) (2). Find the length of the arc intercepted by a central angle of as shown in Figure 4. The radian is the SI unit for measuring angles, and is the standard unit of angular measure used in many areas of mathematics. If you just want to convert a grade (for example a 100 percent grade) into degrees (in this case 45 degrees), it will help if you understand trigonometry (a branch of mathematics). The same procedure works just as well for negative angles. Regardless of which quadrant we are in, the reference angle is always made positive. 1200 1200 = o radians 120 1800 — radians or o radians 1800 — radians or —Z 2700 radians Multiply by 1800 Simplify. 77T 9 -2000 11. By doing that you would be changing units from angular to length. We learn early in childhood that there are 360 degrees in a circle, that there are 90 degrees in a right angle, and that the angle of an equilateral triangle contains 60 degrees. Divide by pi, multiply by 180. One radian is equal to the measure of an angle at the center of a circle with an arc that is equal in length to the radius of that circle. Explanation: The same way you convert positive radians to degrees - the sign of the angle makes no difference. Examples Show that there are 2π radians in a full circle:. There are 400. One degree is equivalent to π/180 radians. 6530190° and a longitude of minus 73. rotating a ray (half-line) about its endpoint. We know thatAngle subtended at center of circle = 360°And we studied thatAngle subtended at center of circle= 2π radiansSo,360° = 2π radians360°/2 = π radians180° = π radiansTo convert degrees and radians,Radian measure = π/180 × Degree measureLet’s look at some examplesConvert 30° into radiansRad. Conclusion. An angle equal to 1 / 2 turn (180° or π radians) is called a straight angle. In order to calculate the sin value on the calculator, just enter the angle and select the angle type as degrees (°) or radians (rad) from the drop down select menu. 2958 degrees. The answers returned are decimal degrees, the degrees based on the factors of minutes and seconds, and also in radians. Free Online Inverse Cosine Calculator works in degrees or radians, plus draws triangle. Now the number π is approximately, 3. Calculate the values of the six trigonometric functions for special angles in terms of radians or degrees. This fact is to be expected because the angles are 180 degrees apart, and a straight angle measures 180 degrees. Then, decimal degrees are converted to radians - "Degrees * Pi/180". You can either set your calculator to radians, or convert from radians to degrees using 1 radian = 180/pi degrees = 57. Elevation Angles. , 90 deg is east, -90 is west). There are also 360 days in the Persian calendar year, and many theorize that early astronomers used 1 degree per day. Type in your own numbers in the form to convert the units! ›› Quick conversion chart of degree to radian. 1 ~ Angles in Degrees and Radians You will learn to: • Describe(angles(using(proper(vocabulary. Pi radians are equal to 180 degrees: π rad = 180° One radian is equal 57. This assumes that the original x value is an angle in Radians or Degrees, depending on the current Rad or Deg setting. The syntax goes like this: RADIANS(X) Where X is the value for which you’d like to have converted from degrees to radians. Well, let's figure out the answer by converting 5 radians to degrees and $$5\pi \text{ radians }$$ to degrees. If you think of a circle with radius of 1 (which is called the unit circle), you can see the circle below is divided up into some common angle written in degrees and radians. See Figure 1. Radians Conversion Charts. Negative angles start on the positive x-axis, also, and rotate clockwise. R cannot be a negative number. Convert the following to degrees or radians. What is degree, minutes and seconds? What is Radian? Angle at center of circle in Radians Degree and Radians - How to convert Ex 3. Whether the angle is positive or negative determines the direction. In exercises 31 to 36, find the length of the arc length when given the central angle and radius 31) r = 2 mm, 2   32) r = 3 ft, 5 2   33) r = 20 cm, 2 34) r = 5 in, 3   35) r = 1 m, 41 36) r= 15 mile, 164 In exercises 37 to 42, determine the area of the sector of a circle with the given radius and central angle. One radian is approximately equal to 57. For North latitude and East longitude it is a plus, for South latitude and West longitude it is a minus. Below is a copy of the unit circle chart, which gives the unit circle degrees and radians. The radian (abbreviated as rad) is equal to 180/π degrees. If the vector points upward, the returned angle is between 0 and pi radians (180 degrees); if it points downward, the angle is between 0 and -pi radians. Python convert radians to degrees or degrees to radians: What are Radians and what problem does it solve?: Radians and degrees are two separate units of measure that help people express and communicate precise changes in direction. Example 34° 24' 16''. Useπ= 22 7 Solution. The length of an arc of a unit circle is numerically equal to the measurement in radians of the angle that it subtends; one radian is just under 57. The main trigonometric functions are sine, cosine, and tangent, often written as sin(x), cos(x), and tan(x). 6530190 x 60 = 39. The latitude of the point on the equator is zero. The coordinates are always rotated around their relative position to the origin. 3 degrees approx or 1 degree = pi/180 radians. 1416 / 180) Calculated out this gives an angle of. But what if there’s no triangle formed?. radian EXAMPLE 2 coterminal x y r r 1 radian 360 0 x y radian measure degree measure 2 π 3. If you just want to convert a grade (for example a 100 percent grade) into degrees (in this case 45 degrees), it will help if you understand trigonometry (a branch of mathematics). As mentioned above, radian measure times radius = arc length, so, using the letters for this problem, ar = l, but a needs to be converted from degree measurement to radian measurement first. This result is summed up in the following table. Therefore, we can relate these two facts as follows: 360 degrees=2 radians Dividing both sides by 360 gives us 1 degree=) *+, radians-). One radian is approximately equal to 57. Unlike some of the numeric methods of class StrictMath, all implementations of the equivalent functions of class Math are not defined to return the bit-for-bit same results. sino < 0, tan6 < 0. 860 Find two other angles, one negative and one positive, which are coterminal to O. The FreeVBCode site provides free Visual Basic code, examples, snippets, and articles on a variety of other topics as well. 56 (use a calculator) 3 as. Convert angle measure from degrees to radians and from radians to degrees. Give your answer in radians. The Degrees to Radians Calculator an online tool which shows Degrees to Radians for the given input. 295779513° The angle α in degrees is equal to the angle α in radians times 180 degrees divided by pi constant: α (degrees) = α (radians) × 180° / π. When converting to decimal degrees, convert longitude values that are in the western hemisphere or latitude values that are in the southern hemisphere to negative decimal degree values. We learn early in childhood that there are 360 degrees in a circle, that there are 90 degrees in a right angle, and that the angle of an equilateral triangle contains 60 degrees. 349066 radians. The following are code examples for showing how to use math. 141593 / 180) There is also the DEG constant ~57. For instance, a 30-degree angle is the same as a -330-degree angle. 37°⋅ π/180° radians. If an angle measurement is written without the symblo in the upper right, it is a radian measure. Thus one radian equals 360 o /2π = 57. equivalent degree and radian measures of special angles in the first quadrant and for 90° = π 2 radians. This set of high-school worksheets offers topics like finding the reference angles in degrees and radians; finding the coterminal angles for the indicated angles, positive and negative coterminal angles, and more. 1 Quadrant: 1 Quadrant is exactly 90° (degrees of arc). 1 Radian and Degree Measure Positive and negative angles When sketching angles, always use an arrow to show direction. Example: What’s the angle for the complex number −16+47 i ? To begin with, since the number is in quadrant 2 (negative real part, positive imaginary part), the angle must be between 90° and 180° or between about 1. So adding negative 90 degrees to GMST will give you one solution for LMST (in degrees). Reinforce the concept of reference and coterminal angles with the multiple response worksheets featured here. A positive angle is drawn in the counterclockwise direction, and a negative angle is drawn in the clockwise direction. I N THE RADIAN SYSTEM of angular measurement, the measure of one revolution is 2 π. The Excel COS function returns the cosine of an angle given in radians. While delay is measured in time, i. First, degrees are converted to decimal degrees - "Degrees + (Minutes + Seconds/60)/60. coterminal(positive and negative) Complements, Supplements, and/or angle sketches. 5 or 73, and don't have any units (in the calculation "radians = distance traveled / radius", we see length is divided by length, so any units would cancel). 10+360= 370 degrees. For example, if North is 0 degrees and clockwise direction:. To return the secant of an angle in degrees, use the RADIANS function. It is always = 90° As you can see from the figure above, the reference angle is always less than or equal to 90°, even for very large angles. Distingush the di erence between 1 and 1 (radian). The angle will be in radians or degrees, according to the calculator mode. But one full rotation in radians is 2(pi) radians. In radians, this is equivalent to (pi/2) + pi(n) radians. Whether the angle is positive or negative determines the direction. The length of an arc of a unit circle is numerically equal to the measurement in radians of the angle that it subtends; one radian is just under 57. For North latitude and East longitude it is a plus, for South latitude and West longitude it is a minus. The Python Degrees function is one of the Python Math function which is used to convert the given angle from Radians to Degrees. The worksheets are offered in both degrees and radians. 360° = 2π radians 2π radians = 360° 180° = π radians 1π radians = 180° 1° = 180 S radians 1 radian = S. Definition: A degree is a unit of angle measure that is equivalent to the rotation in 1/360th of a circle. Pi radians are equal to 180 degrees: π rad = 180° One degree is equal 0. notebook November 16, 2015 TWO MAIN OBJECTIVES: 1) to find coterminal angles 2) convert radians to degrees & vice versa. Its base unit is s-1 (also called inverse seconds, reciprical seconds, or 1/s). sinh Hyperbolic inverse sine (arcsine) of a value or expression cosh Hyperbolic inverse cosine (arccos) of a value or expression tanh Hyperbolic inverse tangent (arctangent) of a value or expression exp e (the Euler Constant) raised to the power of a value or expression ln The natural logarithm of. From then on, any computations refer back to the table of converted angles, that, I might add, may be concealed so that it appears you're working in degrees. Many units of measure come from seemingly arbitrary and archaic roots. In the above VBA code, the angle 45 degrees is converted to radians before it is supplied to the Cos function. The VBA Cos function then returns the value 0. 3 degrees approx or 1 degree = pi/180 radians. For example, look at the sine function for very small values:. I'll write down the word. So if you're totally lost on the unit circle, I'd encourage you to go back and get solid using my degrees-only videos first. He forgot that in 27 minutes the hour hand would move past the 11. To calculate these functions in terms of π radians use Trigonometric Functions Calculator ƒ(π). The precise definition of an angle is the union of two rays with a common vertex. Degree has exact value and numerical value. CCore ore CConceptoncept Converting Between Degrees and Radians Degrees to radians Radians to degrees Multiply degree measure by Multiply radian. SmoothStep: Interpolates between min and max with smoothing at the limits. The computation involves a few tricks, though, and the format is important. Remark that trigonometric identities such as sin 2 x + cos 2 x = 1 or sin (x + y) = sin x cos y + cos x sin y don't require that the angle x is in radians. Free Online Inverse Cosine Calculator works in degrees or radians, plus draws triangle. If we are talking about Earth coordinates, we also have to consider a sign. One radian is defined to be the angle so that the arc of the unit circle subtended by that angle has length 1 (one radian is about 57. The hertz (symbol: Hz) is the SI unit of frequency. I can't remember why 360 was chosen, but methinks it had something to do with the style of architecture used by its creators, this branch of mathematics being a practical evolution. If the length of the arc from (1, 0) to P is 1unit we say the angle is 1 radian ( rad in short). 2 Sometimes we want to be able to convert from radians to degrees and back. On this page, we put 510 Degrees into our formula to calculate the radians. 4 Conversion from Radians to Degrees Students will be able to draw angles in standard position, find co -terminal angles, and express angles in both degree and radian measurement. If the measurement is 2 radians, remember that it does not include pi, and multiply 2 by 180 divided by pi to get 114. Thus if the degree measure of the angle is 180 o then the arc is half the circle circumference, and thus the radian measure of the angle is 2 pi/pi = pi. 75 cm Length of arc AC = 2. An angle measuring 1 radian subtends an arc equal in length to the radius of the circle as shown in the image below. Improve your math knowledge with free questions in "Convert between radians and degrees" and thousands of other math skills. 3 degrees, is the angle you would be creating if you took a pizza cutter and cut a pizza so that the length of each curvy crust was exactly equal to the "radius" of your pizza. Like -60 degrees is equivalent to 300 degrees. Radian measure is another way. How do I convert angle from radians to degrees? By Wayan Saryada in Core API , Math Last modified: July 5, 2019 0 Comment The example below show you how to convert an angle measured in radians into degrees and vice versa. Reinforce the concept of reference and coterminal angles with the multiple response worksheets featured here. (π/ 180) x (the given degree measure) Let us look into some examples to know that how to convert the degree measure to radian. How to Convert from Radians to Degrees. 0 Equation Radian and Degree Measure Angles Graphing positive angles Graphing Negative angles (go back to graph and write in) Coterminal angles Radian Measure Graphing positive angles Graphing negative. Because the number of degrees in a circle is a trascendental number and has an inifinite decimal expansion, there is not an exact conversion from degrees to decimal radians. Sine Calculator. the angle x is measured in radians, is indeed necessary for the conclusion, Eq. This function is overloaded in and (see complex sin and valarray sin ). radius r is s = 27rr, the number of radians in a full circle is = 2m Therefore, 27T radians. The other is based on the fact that angles repeat every 360 degrees: Of course, this can lead to confusion from time to time. Once the final product is reduced, it is evident that 80° is equal to 4 9 π radians. A) 8pi/9 B) 8pi/45 For 8pi/9 I added 18pi/9 which equals 26pi/9. Degrees to radians converter How to convert radians to degrees. 2 Example 1. Click here to jump to the two degrees, minutes, seconds calculators near the bottom of this page. You can calculate this by converting both numbers into fractions. Java - tan() Method - The method returns the tangent of the specified double value. 3 Pi / 2 radians c. This assumes that the original x value is an angle in Radians or Degrees, depending on the current Rad or Deg setting. θ = radians. 2 larger polar-rectangular, 1 w/degrees, 1 w/radians 6 smaller polar-rectangular planes 3 w/degrees, 3/radians Boards traditional 100s board 0 to 99 board (0 on left) negative-positve board (0 on right) negative-positve board (0 on left) blank 6-column 1-101 for examination of prime numbers filled-in 6-column 1-101 for examination of prime numbers. 258 in Text In which quadrant is an angle of 2 radians? An angle of 5 radians? *Go back to the unit circle on the bottom. 29578 degrees we can now find the conversion factor for converting back. Degrees to radians converter How to convert radians to degrees. Divide by π, multiply by 180. For degrees to radians the formula is: [degree * pi / 180]. Since you are starting with degrees, and your conversion factor has degrees in the denominator, the degrees units will go away, or effectively cancel, and you will be left with the radian units you want. The circumference of the circle of radius 1 is 2π or 2π radians. 37°⋅ π/180° radians. Understand that PI (radians) is EQUIVALENT to 180 degrees, which means that PI/2 equals 90 degrees. About DMS to Decimal Degrees. cscO > O, cos9 < O 13. If x is negative, y is expected to be an integer value. the angle x is measured in radians, is indeed necessary for the conclusion, Eq. Relationship Between Degrees and Radians 360 2 radiansq S 180 radiansq S The abbreviation "rads" may be used to label an angle in radian measure. Use this conversion factor to covert radians to degrees. Your question is like asking, "Why is 12 minutes shorter than 12 days?" 3 degrees is in the first quadrant (where the cosine values are positive) where 3 radians is in the second quadrant where. 8684 seconds becomes 11 seconds. convert radians to degrees. Angles must be specified in radians (values from 0 to TWO_PI), or they can be converted from degrees to radians with the radians() function. Calculator Degrees to Radians. Trigonometry functions. Pitch is the angle between the negative z-axis and the projection of the vector onto the y-z plane. The CSS rotate() function is used to rotate elements in a two-dimensional space. As mentioned above, radian measure times radius = arc length, so, using the letters for this problem, ar = l, but a needs to be converted from degree measurement to radian measurement first. Radians measure the amount of rotation between the initial side and terminal side of an angle (it’s another way to measure an angle). To supply an angle to COS in degrees, multiply the angle by PI()/180 or use the RADIANS function to convert to radians. Thus if the degree measure of the angle is 180 o then the arc is half the circle circumference, and thus the radian measure of the angle is 2 pi/pi = pi. Following the value, access the Math menu (press) and select "2: r" from the angle sub-menu (press ), then enter the conversion function "DD" or "DMS". For the inverse functions, use the same number and convert its answer to radians and degrees. Sqrt: Returns square root of f. The formula contains a lot of sin and cos functions which only accept radians and my professor wants the user to input the degrees and he wants me to convert the degrees the user inputs to radians from the source code. There are several ways to measure the size of an angle. 510 Degrees is a measurement of an angle. Polar, or phasor, forms of numbers take on the format, amplitude phase. And we now have our factor for conversion from radians to degrees since 1 * 57. About "How to convert degrees to radians in terms of pi" How to convert degrees to radians in terms of pi : To convert from degree to radians, we have to use the formula given below. notebook 9 April 08, 2016 Radians to Degrees: 1. Radians into degrees. For the example problem, the final answer is that an angle that measures 2 radians measures 114. In electrical engineering the use of radians is very common so it is important to remember the following formula. The phase is specified in degrees. (In the next Topic, Arc Length, we will see the actual definition of radian measure. DEGREES(numeric_exp) Returns the number of degrees converted from numeric_exp radians. 2958 degrees. Start studying Trig Functions/Radians for Special Angles (30,45,60 degree). Details: What is cot-1 (–1)? Do we choose 135°, –45°, 315°, or some. Knowing that 1 radian = 57. Degree has exact value and numerical value. When the unit of an angle is absent, we assume it is in radians. First, degrees are converted to decimal degrees - "Degrees + (Minutes + Seconds/60)/60. Atan() ' Math. ) to measure both s and r, then the radian measurement of an angle is dimensionless. 180 ⋅ = 180∘. Note that the negative sign (part c) translates directly from degrees to radians. Whether the angle is positive or negative determines the direction. Now that she knows this, Olivia needs to convert her angle of 225 degrees into radians. Watch the following video for an explanation of radian measure and examples of converting between radians and degrees. Atan2() ' Math. Here is a sample run:. To convert degrees to radians, multiply by , Move the negative in front of the fraction. Convert from Degrees to Radians 250. RADIANS VERSUS DEGREES 91. If we end up with the same number, then 5 radians and $$5\pi \text{ radians }$$ are the same. Conversion between radians and degrees when radians are given in terms of “ π” DEGREES Æ RADIANS: The official formula is radians 180 π θθD⋅= D Ex. The formula contains a lot of sin and cos functions which only accept radians and my professor wants the user to input the degrees and he wants me to convert the degrees the user inputs to radians from the source code. Radian to Degree Definition. 14159 correct to 5 decimal places, so we can divide and say that 1 radian is approximately 57. Convert the following from degrees to radians: 90°, 180°, 270°. 005555556π = 0. Note that, in order to clarify the code, the value 3. Coterminal AnglesAngles that differ by multiples of 360 degrees or 2 radians. Therefore 0. An online calculator to convert angles from degrees to radians. Note that the angles between two peaks are not symmetric due to the distance term. Rewrite in degrees. 5 no formating needed. The arc length formula does not hold for angles measured in degrees. Converting Degrees to Radians Products and versions covered AutoCAD 2016, AutoCAD Architecture 2016, AutoCAD Civil 3D 2016, AutoCAD Electrical 2016, AutoCAD MEP 2016, AutoCAD Map 3D 2016, AutoCAD Mechanical 2016, AutoCAD P&ID 2016, AutoCAD Plant 3D 2016, AutoCAD Structural Detailing 2016, & AutoCAD Utility Design 2016. My question is how do I convert these kinds of decimal values to radians? If I could, I would like to know how. To make matters simple if you have 1 degree you have to divide it by 0. find a positive angle less than 360° or 2π that's coterminal with the given angle-445°. 141593 / 180) There is also the DEG constant ~57. 1) -650 2950 and -4250 Convert each degree measure into radians. We are using all that we have learned in this chapter. The atan() function takes a single mandatory argument (can be positive, negative, or zero) atan() Return value The atan() function returns the value in the range of [-π/2, π/2]. I made an animation showing how to “count” reference angles in radians. For example, pi over 3 radians would be equal to 60 degrees. Sqrt: Returns square root of f. 5 or 73, and don’t have any units (in the calculation “radians = distance traveled / radius”, we see length is divided by length, so any units would cancel). The class Math contains methods for performing basic numeric operations such as the elementary exponential, logarithm, square root, and trigonometric functions. There would be angles co-terminal to 3p/2. The second printable is a blank unit circle worksheet. 5 no formating needed. How many radians is that? Well we know that it is 2 pi radians. You can either set your calculator to radians, or convert from radians to degrees using 1 radian = 180/pi degrees = 57. For positive angles, you move counterclockwise to get to the terminal side. This form is used in astronomy and defining latitude and longitude. Hence, 180 degrees is equal to π radians. Radian to Degree Definition. We have to be aware of the context in which the term 'Coterminal Angle' is used to decipher the correct meaning. angleTo(B) == B. The Excel SIN function returns the sine of angle given in radians. 1 degree is equal to 0. 6 Converting between radians and degrees. The symbol for radian is rad. 1 Measure in Degrees 1. Header provides a type-generic macro version of this function. Coterminal angles are angles which share the same initial side and terminal sides. In the above VBA code, the angle 45 degrees is converted to radians before it is supplied to the Cos function. toRadians method since the Java trigonometric methods use radians. Printable ordering numbers worksheets with negative decimals with a mix of numbers of different place values of significance. Examples Show that there are 2π radians in a full circle:. Python convert radians to degrees or degrees to radians: What are Radians and what problem does it solve?: Radians and degrees are two separate units of measure that help people express and communicate precise changes in direction. CONVERTING UNITS. 200 times pi, divided by 180, simplifies to the quantity 10 pi over 9, which is now in radians. Just separate the degrees from minutes and seconds with a space like this: 30 0 19, which will mean 30° 0' 19". My teacher said that because the rotation was a function of time (x-axis was time), we had to use radians and not degrees. You Try! Degrees to Radians Radians to Degrees Number of degrees x π 180° Number of radians x 180° π 1. Tan(radians) Console. 01745329 radians) = 57. The essential fact is that 360 degrees equals 2 pi radians. In SI units 1° is π/180 radians. MATH TERMS Angles may be measured in radians as well as in degrees. Convert from Degrees to Radians 250. The angle will be in radians or degrees, according to the calculator mode. To convert ! 6 radians to degrees we create a ratio, and solve. 3 degrees, is the angle you would be creating if you took a pizza cutter and cut a pizza so that the length of each curvy crust was exactly equal to the "radius" of your pizza. Unit Circle — Radians. Degrees into radians Coterminal angles The multiples of π. 1) 370° 2) -225° 3) -135° 4) 150° Convert each radian measure into degrees. Then multiply the measurement in radians by 180 divided by pi. 1 Radian and Degree Measure 287 Applications The radian measureformula, can be used to measure arc length along a circle. When you are finished, you are welcome to read or run a suggested solution, or to post your own solution or discuss the exercise in the comments below. The length of an arc of a unit circle is numerically equal to the measurement in radians of the angle that it subtends; one radian is just under 57. Since the angle is given in radians, I'll assume that your answer should also be in radians. Chapter 4 Trigonometry Section 4. 1, 1 Important. The same procedure works just as well for negative angles. 10+360= 370 degrees. To change a. Note that there are rounding errors in these values. 0°0'1" (1 second of a degree) =. This form is used in astronomy and defining latitude and longitude. They are extracted from open source Python projects. But when you get to calculus using radians is the most. What follows is a reasonable “base-line” knowledge level that should be adequate for calculus. Radians is the ratio of the arc length to the radius of a circle. R = deg2rad(D) converts angle units from degrees to radians for each element of D. The y-coordinate is -1 at 270 degrees, between the 3rd and fourth quadrant. The latitude of the point on the equator is zero. You can vary the angle from -2π to +2π (measured in radians) by moving the slider. 005555556π = 0. 2 larger polar-rectangular, 1 w/degrees, 1 w/radians 6 smaller polar-rectangular planes 3 w/degrees, 3/radians Boards traditional 100s board 0 to 99 board (0 on left) negative-positve board (0 on right) negative-positve board (0 on left) blank 6-column 1-101 for examination of prime numbers filled-in 6-column 1-101 for examination of prime numbers. Sometimes when you solve a trigonometry problem involving the measurement of angle, you will be asked to put your answer in radians, and sometimes you will be asked to put your answer in degrees. In this article we will show you, How to use Degrees() function in Python Programming language with example. If you want GeoGebra to use degrees, you must enter the degree-symbol, press Ctrl+O to write. Use the below online coterminal angle calculator to find out the positive and negative coterminal angles for the given angle by entering angle value in the input field. Initial Side Positive x Terminal Side Rotates from Positive x Vertex Drawing an angle in standard position. 14159265358979 (π) has been assigned to the constant, pi, which is used in the calculation. Angle in degrees = radians × 180 / Pi ~ radians × 57. Header provides a type-generic macro version of this function. I had to create a program which calculates the shortest distance between to coordinates on earth's surface that the user inputs. 1b Angles in Degrees and Radians February 11, 2013 Radian measure of an angle A radian is the angle, that intercepts an arc, s , equal in length to r , the. But suppose I didn't know that.