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It depends on which angle beta is: the angle subtended by the arc at the centre of the circle (assuming that it is a circle and not an ellipse or some other shape), otr the angle subtended by the chord and one of the radii. Basically, there is not enough information provided in the question to give a sensible answer.

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Q: How do you find the length of the arc if r equals 9.234 mm beta equals 5 pi over 4?
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