A regular hexagon has a radius of 20 in. what is the approximate area of the hexagon

Question

asked Mar 9, 2019 35.8k views

2 Answers

Nio · Answer 1 · 2019-03-14T17:53:49+0000

Remark

You need 2 facts to solve this

1. The area of a hexagon is

A = 3*(sqrt(3) ) * a^2/2

Just to make this clear, I'll put it in Latex

$Area = (3*\sqrt3 a^2)/ 2$

2. The second fact you need to know is that the radius = the length of the side a.

Givens

r = 20 in

a = r where a is the length of the side of a hexagon.

Formula Substitute and solve.

A = 3*(sqrt(3) * a^2 ) / 2

A = 3*(sqrt(3) * 20^2) / 2

A = 3*sqrt(3) * 400 / 2

A = 3*sqrt(3) * 200

A = 3*1.7321 * 200

A = 1039 square inches.