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18 August, 09:40

The area of a circle is 320 square meters. Find the radius of the circle. Then find the circumference. Round your answers to the nearest tenth.

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Answers (2)
  1. 18 August, 12:36
    0
    10.1 m = r

    C = 63.4 m

    Step-by-step explanation:

    We know the area of a circle is given by

    A = pi r^2 where pi can be approximated by 3.14 and r is the radius

    320 = 3.14 r^2

    Divide each side by 3.14

    320/3.14 = 3.14 r^2/3.14

    101.910828 = r^2

    Take the square root of each side

    sqrt (101.910828) = sqrt (r^2)

    10.0950893 = r

    To the nearest tenth 10.1 = r

    Now we want the circumference

    C = 2*pi*r

    C = 2 * 3.14 * 10.1

    C = 63.428

    To the nearest tenth

    C = 63.4
  2. 18 August, 13:07
    0
    Radius = 10.1 m

    Circumference = 63.4 m

    Step-by-step explanation:

    Area = 3.14 * r²

    320 = 3.14 * r²

    r² = 101.9108280255

    r = 10.0950893025

    Circumference = 2 * 3.14 * r

    = 2 * 3.14 * 10.0950893025

    = 63.3971608197
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