# Larry The Lamb

Geometry Level 2

A square field $$ABCD$$ has center $$O$$ and side length $$2l$$. A rope of length $$l$$ connects Larry the lamb at one end to $$O$$ at the other end.

The perpendicular from $$O$$ to side $$AD$$ forms a wall that Larry cannot pass through. The point $$P$$ that is the midpoint of the perpendicular from $$O$$ to $$DC$$ forms a peg that will catch on the rope.

What percentage of the field can Larry walk on, to the nearest percent?

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