Question

Suppose that circles R and S have a central angle measuring 80°. Additionally, circle R has a radius of 3 ft and the radius of circle S is 6 ft. If the measure of the sector for circle R is 2π ft2, what is the measure of the sector for circle S?

Answer 1

Area of similar figures is multiplied by the square of the multiplier for linear dimensions (radius, for example).

The area of the sector for circle S is (2π ft²) × ((6 ft)/(3 ft)² = 8π ft².