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14 August, 12:24

Match each circular flower bed on the left to its circumference and its area on the right. Some answer options on ti

not be used.

circumference = 57 feet, area = 251 square feet

diameter = 10 ft

circumference = 6

feet, area = 361 square feet

Flower Bed A

circumference = 101 feet, area = 251 square feet

circumference = 104 feet, area = 1001 square feet

Tradius = 6 ft

circumference = 125 feet, area = 361 square feet

circumference = 121 feet, area = 1441 square feet

Flower Bed B

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Answers (1)
  1. 14 August, 12:42
    0
    Flower bed A has circumference = 31 feet, area = 79 feet²

    Flower bed B has circumference = 38 feet, area = 113 feet²

    Step-by-step explanation:

    * Lets revise the rules of the circumference and the area of the circle

    - The circumference of the circle = 2πr

    - The Area of the circle = πr²

    - r is the radius of the circle and it is half the diameter of the circle

    # Flower bed A has a diameter 10 feet

    ∵ The radius = 1/2 the diameter

    ∴ The radius = 1/2 * 10 = 5 feet

    ∵ The circumference = 2πr

    ∴ The circumference = 2 * π * 5 = 31.42 ≅ 31 feet

    ∵ The area = πr²

    ∴ The area = π (5) ² = 78.54 ≅ 79 feet²

    * Flower bed A has circumference = 31 feet, area = 79 feet²

    # Flower bed B has a radius 6 feet

    ∵ The circumference = 2πr

    ∴ The circumference = 2 * π * 6 = 37.70 ≅ 38 feet

    ∵ The area = πr²

    ∴ The area = π (6) ² = 113.10 ≅ 113 feet²

    * Flower bed B has circumference = 38 feet, area = 113 feet²

    * These answers not in the choices
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