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If a central angle of measure 30° is subtended by a circular arc of length 6 meters, as is illustrated below, how many meters in length is the radius of the circle?
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If a central angle of measure 30° is subtended by a circular arc of length 6 meters, as is illustrated below, how many meters in length is the radius of the circle?

User Netzding
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30 degrees = pi/6 radians
Arc Length = (radius)(angle in radians)
6 = (radius)(pi/6)
radius = 36/pi or approx. 11.5 m

User Geniuslink
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