Segment and Arc Length


Given a segment

and a circle







Find an arc A'B' on the circle such that the length of arc A'B' and segmemt AB are the same length.





Click HERE for a GSP animation to show an arc being formed.

Hint: The ratio of the segment length to radius of the circle will give a radian measure of the central angle for the desired arc.     Note that this is a measurement, NOT a straightedge and compass construction.

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