Kelsey bought a circular rug that has a border of 81.64 feet what is the area of the rug?

Answer 1

Answer is approximately 530.4 square feet = Area of the circular rug

the border of a circular rug would be its circumference = (pi)(2)(radius) or pi(diameter)

81.64=2(pi)r

solve for r

r=81.64/2pi = 40.82/pi

pi is approximately 3.1416

radius =40.82/3.1416=slightly less than 13

Area of the rug is A=pi(radius)^2 or approximately pi times 169 = 530.9 Area is slightly less

A=pi(40.82/pi)^2 =40.82^2 divided by pi = 530.4 square feet