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)

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

Answers ( )

    0
    2021-09-13T21:54:39+00:00

    Answer:

    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

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