An arc of a circle measures 30 centimeters and the radius measures 10 centimeters. in radians, what is the measure of the central angle that subtends the arc?

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asked Nov 4, 2019 186k views

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Austin Hanson · Answer 1 · 2019-11-10T15:17:48+0000

length 0f an arc = r*theta where r = radius and theta is the angle in radians

30 = 10 * theta
theta = 3 radians

angle subtended at centre = 3 * 180 / pi = 171.9 degrees to nearest thenth

An arc of a circle measures 30 centimeters and the radius measures 10 centimeters. in radians, what is the measure of the central angle that subtends the arc?

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