Question

A horse is tied with a 21 m laig rope to the corner of a field which is in the shape of an equilateral triangle. Find the area of the field over which it can graze.

Answer 1

An equilateral triangle has all angles of 60 degrees

The horse will be able to graze over a sector of a circle of radius 21cm and angle 60, so

Area = `60^circ/360^circ  pi "r"^2`

`= 60^circ/360^circ xx 22/7 xx 21 xx 21`

= 231 m²

Horse can graze in 231 m²