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27 April, 21:28

if i want the track to have a circumference of 400 feet what does the diameter of the track need to be?

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  1. 27 April, 23:59
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    The diameter of the track needs to be 127.27 feet

    Step-by-step explanation:

    * Lets explain how to solve the problem

    - The circumference of any circle is C = 2πr, where r is the radius

    of the circle and π is the constant ratio between the

    circumference and the diameter of the circle which

    approximately is 22/7 or 3.14

    - The diameter of any circle is twice its radius

    * Lets solve the problem

    - The circumference of the track is 400 feet

    ∵ The circumference = 2πr

    ∵ π = 22/7

    ∴ 400 = 2 * 22/7 * r

    ∴ 400 = 44/7 r

    - Divide both sides by 44/7 to find r

    ∴ r = 63.63

    ∵ The diameter of the circle = 2r

    ∵ The radius = 63.63 feet

    ∴ The diameter = 63.63 * 2 = 127.27 feet

    * The diameter of the track needs to be 127.27 feet
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