## What is the area of a 45 degree sector of a circle with a radius of 12in.? Use 3.14 and round the answer to the nearest square inch.

Question

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## Answers ( )

Answer:57 square inchesStep-by-step explanation:First consider that a 45 degree sector of a circle is 45/360 of the area of the full circle from which it is cut. This comes out to 1/8 of the full circle area.

The area of a circle of radius 12″ is A = π(12 “)^2, or A = 144π.

The area of the sector in question is 1/8 of that, or

A = (1/8)(144π), or A = 18π square inches, or approximately

57 square inches.