Question

A horse is tied to a pole in a park with a string 21 m long. Find the area over which the horse can graze.

Answer 1

If the horse is tied to a pole, then the pole will be the central point and the area over which the horse will graze will be a circle. The string by which the horse is tied will be the radius of the circle.
Thus,
Radius of the circle (r) = Length of the string = 21 m

Now, area of the circle = ${\mathrm{\pi r}}^2$ = $\left(\frac{22}{7}\times 21\times 21\right)$ m² = 1386 m²
∴ Required area = 1386 m²