Question

A horse is placed for grazing inside a rectangular field 40m by 36m and is tethered to one corner by a rope 14m long. Over how much area can it graze.

Answer 1

The fig shows rectangular field ABCD at corner A, a horse is tied with rope length = 14m.

The area it can graze is represented A as shaded region= area of quadrant with (radius = length) of string

Area = `1/4`× (𝑎𝑟𝑒𝑎 𝑜𝑓 𝑐𝑖𝑟𝑐𝑙𝑒) = 𝜋𝑟²

^{`= 1/4 ×22/7 × 14 × 14`}

^{= (22 × 7)}

= 154 m².

Area it can graze = 154m².