Can someone please check my work for this one??

9514 1404 393

  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.

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step-by-step explanation: