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8 August, 13:21

The perimeter of a semicircle is 15.42 yards. What is the semicircle's diameter?

Use 3.14 for .

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Answers (2)
  1. 8 August, 13:24
    0
    6 yards

    Step-by-step explanation:

    Perimeter = arc length + diameter

    = ½ (2pi * r) + 2r

    15.42 = 3.14r + 2r

    15.42 = 5.14r

    r = 3

    Diameter = 2r

    2 (3)

    6
  2. 8 August, 13:33
    0
    The perimeter of a semi circle can be found using [ 1/2 * π * d + d = 15.42 ]

    d = diameter

    The diameter of a semi circle can be found using [ d (π/2 + 1) = 15.42 ]

    π ≈ 3.14

    Now, solve for d.

    d (π/2 + 1) = 15.42

    ~Divide π/2 + 1 to both sides

    d (π/2 + 1) : π/2 + 1 = 15.42 : π/2 + 1

    ~Simplify

    d = 30.84/π + 2

    ~Substitute π with 3.14

    d = 30.84/3.14 + 2

    ~Add

    d = 30.84/5.14

    ~Divide

    d = 6

    Therefore, the diameter of the semicircle is 6 yards.

    Best of Luck!
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