Question

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.

Answer 1

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