Is it possible to draw a straight line of the same length as an arc, using compass and straightedge? Someone asked me this. I'm unable to figure out how this can be done.
arc length to a straight line
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geometry
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0By "arc," do you mean a portion of a *circle*? ("Arc" sometimes refers to a section of any old curve.) – 2017-02-10
1 Answers
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If so, given a circle of radius 1, it would be possible to construct a straight line of length $2\pi$. But this is not possible because $\pi$ is transcendental and hence not constructible.
This should be of interest