The area of the sector of a circle with a radius of 8 centimeters is 125.6 square centimeters. The estimated value of π is 3.14. Determine the measure of the angle of the sector.

The are of a sector of a circle can be obtained using the following equation:

A = (n/360) * pi*r^2

where:

A = area = 125.6 cm^2

n = measure of the angle of the sector

r = radius = 8 cm

Substituting the given values:

125.6 = (n/360) * pi * (8^2)

n = 224.89 degrees