5
QuizMultiple Choice

Area of Regular Polygons — Quiz

Question 5 • MASTER COURSE Geometry

A regular hexagon has a radius of 20 inches What is the approximate area of the hexagon?

Answer
A
600 in. squared
B
1 comma 200 in. squared
C
1 comma 039 in. squared
D
2 comma 076 in. squared

Explanation

In a regular hexagon, the radius (center to a vertex) is equal to the side length, so each side is 20 inches. The hexagon is made of 6 equilateral triangles, each with area (√3/4)(20²) = 100√3 square inches. Thus its area is 600√3 ≈ 1,039 square inches, which matches choice A, 1,039 in.².

AI-written and checked against the verified answer.

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