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2 March, 06:37

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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Answers (1)
  1. 2 March, 06:52
    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
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