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11 May, 04:09

A circle has a circumference of 8. It has an arc of length 32/5. What is the central angle of the arc, in the degrees?

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  1. 11 May, 05:58
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    radius = circumference / 2*PI = 8 / 6.2831853072 =

    1.2732395447

    Central Angle (radians) = arc length / radius

    Central Angle (radians) = (32 / 5) / 1.2732395447

    Central Angle (radians) = 5.0267043669

    * 180 / PI = 288.0089450834 Degrees
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