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)

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