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An arc can be measured either in degree or in unit length. An arc is a portion of the circumference of the circle which is determined by the size of its corresponding central angle. We create a proportion that compares the arc to the whole circle first in degree measure and then in unit length.

(measure of central angle/360 degrees) = (arc length/circumference)

arc length = (measure of central angle/360 degrees)(circumference)

But, maybe the angle that determines the arc in your problem is not a central angle. In such a case, find the arc measure in degree, and then write the proportion to find the arc length.

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Q: How do you find the arc length with the angle given?
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How do you find radius of a circle if given arc length?

you will need to know the angle subtended by the arc; arc length = radius x angle in radians


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How do you find the arc length when the central angle is given?

Well, in degrees, the arc is congruent to its central angle. If the radius is given, however, just find the circumference of the circle (C=πd). Then, take the measure of the central angle, and divide that by 360 degrees. Multiply the circumference by the dividend, and you will get the arc length. This works because it is a proportion. Circumference:Arc length::Total degrees in triangle:Arc's central angle. Hope that helped. :D


How do you find arc length when given radius and chord?

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