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29 January, 23:21

Find the radius of a circle in which the central angle, a, intercepts an arc of the given length s. a = 156°, s = 25 km

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  1. 30 January, 02:48
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    Radius of the circle is 9.178

    Step-by-step explanation:

    Given that,

    Central angle, a = 156°

    Arc length, s = 25 km

    The formula to calculate the radius of a circle is;

    Arc length = Θ / 360° x (2πr)

    We are given that the Θ = 20° and that arc length is 66 in. Substituting, we have;

    L = Θ / 360° x (2πr)

    25 = (156 / 360°) x 2 x 22/7 x r

    25 = 6864r / 2520

    r = (2520 x 25) / 6864

    r = 63000 / 6864

    r = 9.178
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