3
QuizMultiple Choice

Area of Regular Polygons — Quiz

Question 3 • MASTER COURSE Geometry

A regular decagon has a radius of 8 centimeters What is the approximate area of the decagon? Recall that a decagon is a polygon with 10 sides.

Answer
A
188 cm squared
B
375 cm squared
C
198 cm squared
D
304 cm squared

Explanation

For a regular polygon with 10 sides and radius 8 cm (from the center to a vertex), use area = (n/2)r² sin(360°/n). Substituting gives area = 5 × 8² × sin 36° ≈ 320 × 0.588 ≈ 188 cm². So the approximate area is 188 cm², choice C.

AI-written and checked against the verified answer.

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