Acircle has a radius of 8 inches. find the area of a sector of the circle if the sector has an arc that measures 45°.

2 sq. in.?
8 sq. in.?
16 sq. in.?

To look for the area of a sector of a circle, the following formula is used:

Area = ( n / 360 ) * pi * r^2

Where: n = measure of arc in degrees
pi = 3.1416
r = radius

Since we are already given all of the needed parts of the formula, direct substitution is done, as shown below:

Area = ( n / 360 ) * pi * r^2
Area = ( 45 / 360 ) *3.1416 * (8)^2
Area = 25.133 in^2

Therefore, the area of the sector of the circle is 25.133 sq. in.

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