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From the Tether Problem to the Involute of a Circle

​
angle
0
number of sides
4
shape
Polygon
Circle
A cow is tethered at the point
(1,0)
to a black building of semiperimeter
P
. The figure represents half of the area it can graze with a leash equal to
P
. Change the angle to see what happens as the cow moves around the building. The shape of the base of the building can be either a regular polygon or a circle. If you choose a polygon, use the slider to increase the number of sides.
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