To find the area of the deck, we need to calculate the area of the larger circle and subtract the area of the smaller circle.
The radius of the larger circle is (5.4/2) + 2.2 = 4.4. Therefore, the area of the larger circle is π(4.4)^2 = 60.8 m².
The radius of the smaller circle is 5.4/2 = 2.7. Therefore, the area of the smaller circle is π(2.7)^2 = 22.9 m².
The area of the deck is the area of the larger circle minus the area of the smaller circle:
60.8 - 22.9 = 37.9 m².
Therefore, the area of the deck is 37.9 m² when rounded to the nearest tenth.
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.
An image of a circle with diameter 5.4 m inside of a larger circle. The distance from the small circle to the larger circle is 2.2m.
75.4 m²
75.4 m²
52.5 m²
52.5 m²
278.7 m²
278.7 m²
22.9 m²
1 answer