A regular heptagon has a radius of approximately 27 point 8 7 centimeters and the length of each side is 24 point 1 8 centimeters What is the approximate area of the heptagon rounded to the nearest whole number? Recall that a heptagon is a polygon with 7 sides.

The heptagon’s perimeter is 7 × 24.18 = 169.26 cm. Its apothem is approximately √(27.87² − 12.09²) = 25.11 cm, using the radius and half a side to form a right triangle. The area is (perimeter × apothem) ÷ 2, which is about (169.26 × 25.11) ÷ 2 = 2,125 cm². The correct choice is 2,125 cm squared.

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