Use the below diagram to find the area of the shaded region, if the radius of the circle is 35 inches and the measure of angel ABC is 106 degree

Question

Use the below diagram to find the area of the shaded region, if the radius of the circle is 35 inches and the measure of angel ABC is 106 degree

Answer 1

This is an "area of a sector" problem. Think of a sector like a piece of pie. The piece of pie is a fraction of the whole pie. So the area of a sector is a fraction of the area of whole circle. Use the fraction "measure of arc/ 360" in the equation below.

Area of Sector = (measure of arc/360) times π r²

So in this case

(106/360) * π (35)²

=1135.16 sq in

Answer 2

Area = (106/360)pi(35)² square inches