Question

If a goat is tied to a pole at point a with a rope 12 m long such that it can not enter a triangle abc with ab=ac=10 m and angle a = 30 deg. how much area can it graze?

Answer 1

Length of the rope is longer than the side of triangle.

So, goat eat a bit more than the edges.

= π*12*12(1 - 30/360)

= π*144*(330/360)

= 132π

Hence, the area graze by goat is more than 132π.