kimberlysitters
kimberlysitters kimberlysitters
  • 15-08-2021
  • Mathematics
contestada

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.

Respuesta :

rococo908
rococo908 rococo908
  • 15-08-2021

Answer:

703.7168 ft²

Step-by-step 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[tex]\pi[/tex]/4)

a = 703.7168

So, the area of the sector is 703.7168 ft²

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