Question

Four cows are tethered at the four corners of a square field of side 50 m such that each can graze the maximum unshared area. What area will be left ungrazed?

Answer 1

Each cow can graze a region that cannot be accessed by other cows.

∴ Radius of the region grazed by each cow `=50/2 = 25  "m"`

Area that each cow grazes`=1/4xxpixx"r"^2`

`= 1/4xx3.14xx25xx25`

= 490.625 cm²

Total area grazed = 4 × 490.625 = 1963.49 m² 

Area of the square = (Side)² 

= 50² 

= 2500 cm² 

Now,

Area left ungrazed= Area of the square - Grazed area

= 2500 - 1963.49 = 536.51 m²