A horse is tied to a post by a rope. If the horse moves along a circular path always keeping the rope streched and describes 88 metres when it has traced out 72° at the centre, the length of the rope is
$$\left( {{\text{Take }}\pi = \frac{{22}}{7}} \right)$$

Solution (By Examveda Team)

$$\eqalign{ & {\text{Length of arc}} = \frac{\theta }{{360}} \times 2\pi r \cr & \frac{{72}}{{360}} \times 2 \times \frac{{22}}{7} \times r = 88 \cr & r = \frac{{88 \times 7 \times 360}}{{72 \times 2 \times 22}} \cr & r = 70{\text{ m}} \cr} $$