Question

Find the area of a regular hexagon whose side length is 16 in. and the apothem is 8 square root 3

Answer 1

Area  = 6  * (0.5*16*8sqrt3)

          =  6 * 64 sqrt3

          = 384 sqrt3 sq units
             or  665.1 sq units to nearest tenth

Answer 2

The area of a regular hexagon is mathematically given as

A=665.1 sq units

What is the area of a regular hexagon whose side length is 16 in.?

Question Parameter(s):

a regular hexagon whose side length is 16 in.

and the apothem is 8 square root 3

Generally, the equation for the area   is mathematically given as

A=(3√3)/2 *a^2

Therefore

A  = 6*(0.5*16*8√3)

A= 384√3 sq units

A=665.1 sq units

In conclusion, the area of a regular hexagon

A=665.1 sq units

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