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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