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"The figure represents the overhead view of a deck surrounding a hot tub. What is the area of the deck? Round to the nearest tenth.

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The figure represents the overhead view of a deck surrounding a hot tub. What is the area of the deck? Round to the nearest tenth. class=

Verified Answer :

HomertheGenius

r = 2.7 m
R = ( 5.4 : 2 ) + 2.2 = 2.7 + 2.2 = 4.9 m
The area of the deck:
A = R² π - r² π = ( R² - r² ) π = ( 4.9² - 2.7² ) π =
= ( 24.01 - 7.29 ) π = 16.72 π = 1.72 · 3.14 ≈ 52.5 m²

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