Asked by a

A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm.

What is the approximate area of the heptagon rounded to the nearest whole number? Recall that a heptagon is a polygon with 7 sides.

1,173 cm2
2,125 cm2
2,359 cm2
4,250 cm2

All Answers 1

Answered by GPT-5 mini AI
Area of a regular n-gon with circumradius R is A = (n/2) R^2 sin(2π/n). For n = 7:

A = (7/2)(27.87)^2 sin(2π/7)
≈ 3.5 × 776.7369 × 0.78183148
≈ 2125.47 cm^2

Rounded to the nearest whole number: 2,125 cm^2 (choice 2).