Question

The regular hexagon has a radius of 4 in. What is the approximate area of the hexagon

Answer 1

Area of regular hexagon is 6√3/4 × a^2
= 6/4 × √3 ×4×4
=24√3 is the answer

Answer 2

Answer:

The approximate area of the regular hexagon = 41.57 inches²

Step-by-step explanation:

A regular hexagon is a 6 sided closed polygon whose all six sides are equal in length.

Side of the given regular hexagon = a = 4 inches

Area of a regular hexagon is given by the formula :

$Area=\frac{3\sqrt{3}}{2}\cdot a^2\\\\\implies Area=\frac{3\times 1.732\times 4^2}{2}\\\\\implies Area = \frac{5.196\times 16}{2}=\frac{83.136}{2}\\\\\bf\implies Area=41.568\approx 41.57\text{ square inches}$

Hence, The approximate area of the regular hexagon = 41.57 inches²