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The area of a regular polygon of n sides...

The area of a regular polygon of `n` sides is (where `r` is inradius, `R` is circumradius, and `a` is side of the triangle (a) `(n R^2)/2sin((2pi)/n)` (b) `n r^2tan(pi/n)` (c) `(n a^2)/4cotpi/n` (d) `n R^2tan(pi/n)`

A

`1/2R^(2)sin((2pi)/(n))`

B

`n/2 R^(2)sin((pi)/(n))`

C

`n/2 R sin((2pi)/(n))`

D

`(nR^(2))/2 sin((2pi)/(n))`

Text Solution

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The correct Answer is:
D
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