900
QuizMultiple Choice

Modeling with Rational Functions — Unit test

Question 900 • Crowley Credit Recovery Algebra II B

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.

Answer
A
1,173 cm2
B
2,125 cm2
C
2,359 cm2
D
4,250 cm2

Explanation

The area of a regular polygon is half its perimeter times its apothem. The perimeter is 7 × 24.18 = 169.26 cm, and the apothem is approximately √(27.87² − 12.09²) = 25.11 cm. Thus, the area is about (169.26 × 25.11) ÷ 2 = 2,124.6 cm², which rounds to 2,125 cm², choice B.

AI-written and checked against the verified answer.

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