Constructions: A straight line segment of length pi units.

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A line segment of length 22/7 units or 3.14 units can be drawn. But how can a line segment be drawn of exactly pi units?

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Due to the transcendence of $\pi$ it is impossible to draw a line segment that is exactly $\pi$ long. However, one could get close by breaking a circle with radius $\frac 12$ and drawing length of its circumference (perhaps using string around the circle).