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°
