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.
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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