Four horses are tethered at four corners of a square plot of side 14 m

Four horses are tethered at four corners of a square plot of side 14 m so that the adjacent horses can just reach one another. There is a small circular pond of area 20 m2 at the centre. Find the ungrazed area.

  1. 168 m2
  2. 84 m2
  3. 42 m2
  4. 22 m2

Answer

Total area of square plot = 14 × 14 = 196 m2

Horses can graze in quarter circle of radius = 7 m

Grazed area = 4*(πr2)/4 = 154 m2

Area of pot where horses cannot reach = (196 - 154) = 42 m2

Ungrazed area = 42 - 20 = 22 m2

The correct option is D.