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A regular hexagon is constructed inside a circle of diame...

A regular hexagon is constructed inside a circle of diameter 12cm. The area of the hexagon is

A.

36πcm2

B.

543cm2

C.

3cm2

D.

1x1

Correct answer is B

Sum of interior angle of hexagon = [2(6) - 4]90°

= 720°

sum of central angle = 360°

Each central angle = 3606

= 60°

Area of Hexagon = 12 x 6 x 6 sin 60°

36×632×2

= 543cm2