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Find the area of a regular hexagon (in cm²) with sides of length 6 cm.
Question

Find the area of a regular hexagon (in cm²) with sides of length 6 cm.

A.

18

B.

36

C.

54√3

D.

5√2

Correct option is C

Given:

​The side of a regular hexagon is 6 cm. 

Formula used:

Area of regular hexagon

Area = 332×s2\frac{3\sqrt3}{2}\times s^2

s is the length of side of the hexagon

Solution:

Area = 332×(6)2\frac{3\sqrt3}{2}\times (6)^2

Area = 332×36\frac{3\sqrt3}{2}\times 36

Area = 54354\sqrt3

​​The area of the regular hexagon is 54354\sqrt3

Thus, correct option is (c)

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