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Thus 2 radians equals 360 degrees. This means that 1 radian = 180/ degrees, and 1 degree = /180 radians. The reason for this is that so many formulas become much easier to write and to understand when radians are used to measure angles. A very good example is provided by the formula for the length of a circular arc.
Instructions. Convert a given angleâs degree measure to radians. The formula for converting degrees to radians is: radians=degrees x pi/180. Multiply your degree measure by pi/180.For instance, to convert 50 degrees to radians, multiply 50 by pi/180. This equals 50(pi)/180, which reduces to 5(pi)/18. Determine the radius of the circle on which the angle measurement exists. You need to know the radius of the circle to calculate the arc length of the angle.onvert a given angleâs degree measure to radians. The formula for converting degrees to radians is: radians=degrees x pi/180. Multiply your degree measure by pi/180. For instance, to convert 50 degrees to radians, multiply 50 by pi/180. This equals 50(pi)/180, which reduces to 5(pi)/18.