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explain how arc length and the measure of the central angle of a circle are related. check my answer?

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The central angle and the length of arc are related by the formula:

Length of arc = (θ/360) * 2πr

Where θ = Central angle.

If the central angle is one quarter of the entire circle, the length of arc would also be one quarter of the entire circumference of the circle.
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User Morteza Tourani
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