Problema Solution

Kelsey bought a circular rug that is 8 feet in diameter. The rug has a blue border and a red circular center that is 6 feet in diameter. What is the area of the blue rug? What is the area of the blue border?

Answer provided by our tutors

we will assume that the rug has only red and blue areas


the red circular center has a 6 feet diameter thus the area of the red center is (6/2)^2*pi = 9pi ft^2


the area of the circular rug is (8/2)^2*pi = 16pi ft^2


the area of the blue border = the are of the rug - the area of the red circular center


the area of the blue border = 16pi - 9pi


the area of the blue border = 7pi ft^2