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.
