## 4.) Kelsey bought a circular rug that is 12 feet in diameter. The rug has a blue border and a red circular center that is 4 feet in di

Question

4.) Kelsey bought a circular rug that is 12 feet in diameter. The rug has a blue border and a red
circular center that is 4 feet in diameter. What is the area of the blue border? (round to the
nearest tenth place)

in progress 0
1 week 2021-09-13T21:53:17+00:00 1 Answer 0

Area of the blue border is 100.544 ft²

Step-by-step explanation:

What is the area of the blue border?

Area of a Circle = πr²       , where π = 3.142

Where: Outer diameter = 12 ft    ==> (half of diameter) Radius (r₁) = 6 ft

Inner diameter = 4 ft    ==> (half of diameter) Radius (r₂) = 2 ft

The blue border is the space between the edge of the rug and the inner red circle.

The area of the blue border = Area of outer circle – Area of the inner circle

Area of Outer Circle = πr₁² = 3.142(6)² = 113.112 ft²

Area of Inner Circle = πr₂² = 3.142(2)² = 12.568 ft²

The area of the blue border = 113.112 – 12.568

= 100.544 ft²