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A circle has a radius of 48 millimeters. What is the central angle in radians, that intercepts an arc of length 36π millimeters?

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  1. 26 May, 11:12
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    Radian measure by diving the length of an arc by the radius of the circle. Therefore, 1 radian is the angle subtended to the center of a circle by an arc length equivalent to the radius of a circle.

    radius is 48 millimeters and the length of an arc is 36π millimeters

    Hence, radians = S/r

    = 36 π/48 if we take π as 3.14

    = 36 * 3.14 / 48

    = 2.355 radians
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