an intercepted arc has a length of 19 yards. If the radius is 4 yards, find the measure of the central angle in radians and degrees.

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23 votes

Answer:

$s=r\theta\\\theta=s/r\\\theta=19/4\\\theta=4.75$

Explanation:

There is a formula that relates the arc length of a circle of radius, r, to the central angle,
$\theta$ in radians.

$s=r\theta$

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