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 °.'

Answer 1

Area = (theta/360)* pi * r^2 
where theta is the angle of  the sector 
subs by your givens in the above equation 
2.512 = (theta/360) * pi * (4)^2 
theta = (2.512 * 360) /(pi*(4)^2)
theta = 18 degree