the name of length of an arc is
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major arc or minor arc
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Since in any circle the same ratio of arc to radius determines a unique central angle, then for theoretical work we often use the unit circle, which is a circle of radius 1: r = 1. In the unit circle, the radian measure is the length of the arc s. The length of that arc is a real number x. s = rθ = 1· x = x.
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