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Question

Mathematics Question on Circle

The sum of the radii of inscribed and circumscribed circles for an n sided regular polygon of side a, is

A

a cot (πn)\left(\frac{\pi}{n}\right)

B

a2\frac{a}{2} cot (π2n)\left(\frac{\pi}{2n}\right)

C

a cot (π2n)\left(\frac{\pi}{2n}\right)

D

a4\frac{a}{4} cot (π2n)\left(\frac{\pi}{2n}\right)

Answer

a2\frac{a}{2} cot (π2n)\left(\frac{\pi}{2n}\right)

Explanation

Solution

Answer (b) a2\frac{a}{2} cot (π2n)\left(\frac{\pi}{2n}\right)