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Radians And Degrees In C#

Microsoft’s .Net Framework comes with a lightweight and useful Math class built-in. One of the most commonly used functions are the trigonometry functions: sin, cos, and trig. However, if you remember from math class, trigonometric functions are good for two kinds of numbers: radians and degrees.

Let’s first look at radians and degrees. Both are drawn in what is called a unit circle, which is simply a circle with its center at the origin (0,0) and with a radius of 1. Degrees are more commonly used; they just go from 0 to 360. Well, in the unit circle, there’s a radian “degree” so to speak that corresponds to each actual degree. The most important equality is 180 degrees equals pi. For reference, degrees range from 0 to 360 and radians range from 0 to 2*pi.

So which of the two does the .Net Framework use? In short, the answer is radians. The functions Math.Cos, Math.Sin, Math.Tan (and the other trigonometric functions of the Math class) all take a single double variable as a parameter. The reason being that radians are almost always treated as decimal points.

To use degrees, we first need to convert the value from degrees to radians and then enter it into the Math function. Luckily, radians and degrees have the same scale, so just do a simple cross multiplication to convert:

180/Pi = [degrees]/X

x will be the value in radians. After simplification, it follows

x = (Pi * [degrees])/180.0

To convert radians back to degrees for some reason, we can apply the same principle:

180/ft = x/[radians]

x = (180.0 / Pi) * [radians]

Remember to use doubles in your coding!

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