3 years ago

A sector of a circle has a central angle of 60°. find the area of the sector if the radius of the circle is 6 mi.

1 answer:

8 0

The entire circle has a central angle of 360°.
Because the radius is 6 mi, the area of the circle is
π(6)² = 36π mi².

The sector has a central angle of 60°, therefore it occupies 60/360 = 1/6 of the area of the circle.
The area of the sector is
(1/6)*36π = 6π mi² = 18.85 mi²

Answer: 6π mi² or 18.85 mi².

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