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Radians And Degrees In C#

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

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

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

In order to use degrees, we must first convert the degree value to radians and then feed it into the math function. Fortunately, radians and degrees have the same scale, so we just need to do a simple cross-multiplication to convert:

180/Pi = [degrees]/x

x will be the value in radians. After simplifying, it comes out to

x = (Pi * [degrees])/180.0

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

180/pi = x/[radians]

x = (180.0/Pi) * [radians]

Remember to use doublers in your coding!

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