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The length of one side of a regular hexagon is 4 cm. The area (in cm²) of the hexagon is:
Question

The length of one side of a regular hexagon is 4 cm. The area (in cm²) of the hexagon is:

A.

36.14 cm²

B.

26√5 cm²

C.

24√3 cm²

D.

32√3 cm²

Correct option is C

Given:

Side of regular hexagon = 4 cm

Formula Used:

Area of regular hexagon = 332×a2\frac{3\sqrt{3}}{2} \times a^2​​

where a = side length

Solution:

Area of hexagon = 332×42\frac{3\sqrt{3}}{2} \times 4^2​​

=332×16= \frac{3\sqrt{3}}{2} \times 16​​

=243 cm2= 24\sqrt{3} \text{ cm}^2​​

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