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20 August, 11:38

a circle has an arc of length 56 π that is intercepted by a central angle of 120°. what is the radius of the circle?

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  1. 20 August, 14:51
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    We know that ...

    arc length = radius x central angle in radians

    radius = arc length/central angle in radians

    120° = 2π/3 radians

    radius = 56π / (2/3π) = 84 units

    answer: 84 units
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