MikinleyG567619 MikinleyG567619
  • 03-11-2022
  • Mathematics
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The radius of a circle is 8 miles. What is the area of a sector bounded by a 180° arc?Give the exact answer in simplest form. ____ square miles.

The radius of a circle is 8 miles What is the area of a sector bounded by a 180 arcGive the exact answer in simplest form square miles class=

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BrannonR578158 BrannonR578158
  • 03-11-2022

Radius r:

r = 8 miles

Area of a circle:

A = π * r²

The area of a 180° arc is the half of the area of the entire circle:

A_arc = (π * r²)/2

Solving:

A_arc = 32π square miles

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