Question

A 72° sector in a circle has an area of 16.4π yd². What is the area of the circle? Use 3.14 for pi.

Answer 1

The area of a sector of a circles is calculated by the equation A = πr^2 (theta/360). From the data of the sector, we determine the radius of the circle. THen, we can calculate for the area of the circle.

16.4π = πr^2 (72/360)
r = 9.06

Area of circle = πr^2 
Area of circle = π(9.06)^2
Area of circle = 82π