Question

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.

Answer 1

Answer:

57 square inches

Step-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.