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

2 Answers

4 votes

Answer:

1039 ft^2

Explanation:

bc it is

User Alex Trebek
by
7.7k points
5 votes

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.

User Nio
by
8.8k points

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