A circular garden is surrounded by a rectangular grassy area. The garden takes up nearly half the grassy area. The base of the grassy area i

Question

A circular garden is surrounded by a rectangular grassy area. The garden takes up nearly half the grassy area. The base of the grassy area is 6 yards by 3 yards.

A rectangle with a length of 6 yards and width of 3 yards. A circle inside of the rectangle has a diameter of 3 yards.

Use the base of the grassy area to find the approximate area of the circular garden. Use Pi = 3.14. If necessary, round to the nearest tenth.?

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Nho 5 months 2021-08-24T04:18:04+00:00 1 Answers 9 views 0

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    2021-08-24T04:19:22+00:00

    Answer:

    The area of the circular garden is approximately 7.1 square yards

    Step-by-step explanation:

    The given parameters are;

    The area surrounding the circular garden = A rectangular grassy area

    The area of the circular garden ≈ (1/2) × The base of the grassy rectangular area

    The dimensions of the base of the rectangular grassy area = 6 yards by 3 yards

    The diameter of the circle, D = 3 yards

    The area of the rectangular grassy area = 6 yards × 3 yards = 18 yards²

    ∴ The approximate area of the circular garden = (1/2) × 18 yards² = 9 yards²

    The area of the circular garden, A = π·D²/4

    ∴ A = 3.14 × (3 yards)²/4 = 7.065

    The area of the circular garden, A ≈ 7.1 yd².

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