Home > Circles > Circle of grass

## Circle of grass

There is a circle of grass with the radius R. We want to let a sheep eat the grass from that circle by attaching the sheep’s leash on the edge of the circle. What must be the length of the leash for the sheep to eat exactly half of the grass?

This question is taken from physicsforum.

Solution :

Let the length of the leash be l.  Then $\sqrt{2} R > l > R.$

Categories: Circles Tags: , , ,