13
QuizMultiple Choice

Area of Regular Polygons

Question 13 • *CR CCSS Math 2 S2 [M2960OX]

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

Answer
A
188 cm2
B
198 cm2
C
304 cm2
D
375 cm2

Explanation

For a regular polygon with 10 sides and radius 8 cm, use the area formula A = (n/2)R² sin(360°/n). Substituting gives A = 5 × 8² × sin(36°) ≈ 320 × 0.588 ≈ 188 cm². The approximate area is 188 cm², choice A.

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