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

The equation for the area of a sector of a circle is expressed as the product of pi, square of the radius and the ratio of the angle of the sector and 360 degrees.

Area = πr^2 (α / 360°)

We obtain the angle by manipulating the equation.

α = (Area x 360°) / πr^2 
α = (2.512 cm^2 x 360°) / (π x 4^2)
α =35.98°