Question

The area of a sector of a circle with a radius of 4 centimeters is 2.512 square centimeters. The estimated value of π is 3.14.
The measure of the angle defining the sector is what in degrees

Answer 1

The formula of the sector is expressed in the following expression:
Area = 0.5 * r^2 * theta
where r is the radius of the circle and theta is the angle in which the sector is measured and is expressed in radians. In this case, upon substitution
2.512 = 0.5*4^2 * thetatheta = 0.314 radians * (180 deg / 3.14) = 18 degrees