9514 1404 393
Answer:
925.4 ft²
Step-by-step explanation:
The area of the circle is ...
A = πr² = π(18 ft)² = 324π ft² ≈ 1017.88 ft²
Then the area of the sector containing the white space is 1/4 of that, or ...
sector area = (1/4)(1017.88 ft²) = 254.47 ft²
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The triangle area is ...
A = 1/2bh
A = (1/2)(18 ft)(18 ft) = 162 ft²
The white space is the difference between the sector area and the triangle area:
white space = 254.47 ft² -162 ft² = 92.47 ft²
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The shaded area is the difference between the circle area and the area of the white space:
shaded area = 1017.88 ft² -92.47 ft² = 925.41 ft²
The area of the shaded region is about 925.4 ft².
