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Among all cyclic quadrilaterals inscribe...

Among all cyclic quadrilaterals inscribed in a circle of radius R with one of its angles equal to `120^@`. Consider the one with maximum possible area. Its area is-

A

`sqrt(2) R^(2)`

B

`sqrt(3) R^(2)`

C

`2R^(2)`

D

`2sqrt(3)R^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B

`A = 2 xx 1/2 xx sqrt(3)R xx R = sqrt(3)R^(2)`
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