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.