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

HEREfor aGSP animationto 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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