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29 July, 02:46

Use the fact that the length of an arc intercepted by an angle is proportional to the radius to find the arc length given the circle area A = 25π cm2 and Θ = straight pi over 4 Your answer: 20straight pi fraction numerator 5 pi over denominator 4 end fraction fraction numerator 4 pi over denominator 5 end fraction fraction numerator 10 pi over denominator 4 end fraction

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  1. 29 July, 02:56
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    s = 5/4 pi

    Step-by-step explanation:

    A = 25π cm2

    Theta = pi/4

    A = pi r^2 = 25 pi

    Divide each side by pi

    r^2 = 25

    Taking the square root of each side

    sqrt (r^2) = sqrt (25)

    r = 5

    The arc length is

    s = r * theta where theta is in radians

    s = 5 * pi/4

    s = 5/4 pi
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