Given two integers r and n where n is the number of sides of a regular polygon and r is the radius of the circle this polygon is circumscribed in. The task is to find the length of the side of polygon.
Input: n = 5, r = 11
Input: n = 3, r = 5
Approach: Consider the image above and let angle AOB be theta then theta = 360 / n.
In right angled triangle , angle ACO = 90 degrees and angle AOC = theta / 2.
So, AC = OA * sin(theta / 2) = r * sin(theta / 2)
Therefore, side of the polygon, AB = 2 * AC i.e. 2 * r * sin(theta / 2).
Below is the implementation of the above approach:
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