A rabbit swims in a round pond with a radius of 1 with a constant speed
. A tiger tries to catch the
rabbit on the shore before the rabbit reaches to the shore. The tiger runs on the perimeter of
the pond 4 times faster than the rabbit swims. The tiger can not swim, and
runs the perimeter of the pond towards a point A of the shore in the
following figure. If the rabbit is at the center of the pond, the tiger
stops. Now, find a way for
a rabbit to reach to the shore before the tiger get there, starting at the center of the pond.