Question

1. 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.

452.3 ft²
638.5 ft²
973.1 ft²
170.1 ft²

Explanation:

Step1: Find radius of hot tub

Radius of hot tub: $r = \frac{26.4}{2} = 13.2$ ft

Step2: Find radius of deck + hot tub

Total radius: $R = 13.2 + 8.8 = 22$ ft

Step3: Calculate area of deck

Area = $\pi(R^2 - r^2) = \pi(22^2 - 13.2^2) = \pi(484 - 174.24) = \pi(309.76) ≈ 638.5$ ft²

Answer:

638.5 ft²