Question

Find the area of the sector of a circle with diameter 32 feet and an angle of 7Pi/4

radians.Round your answer to four decimal places.

Answer 1

703.7168 ft²

Explanation:

Use the sector area formula, a = 1/2r²θ

If the diameter is 32 feet, then the radius is 16 feet.

Plug in the radius and angle measure into the formula, and solve:

a = 1/2r²θ

a = 1/2(16)²(7
`\pi`/4)

a = 703.7168

So, the area of the sector is 703.7168 ft²