Question

a horse is tied at one corner of a rectangular field by a rope of length 14m. over how much area can it graze?

Answer 1

The area of the rectangular field is 40*60 = 2400 sq m.

The horse is tethered at one corner with a rope 14 m long. So the horse can graze a quadrant of a circle of 14 m radius = (pi/4)*14*2 = 154 sq m.

So the horse can graze 154*100/2400 = 6.417 % of the field or 154 sq m.

Answer 2

we know that area = π r²
Here r = 14 m

hence area the horse can graze =
1/4 ×22/7 × 14 m × 14 m
= 1/4 ×616 m²
= 154 m²