Question

Four cows are tethered at the four corners of a square field of side 50 m such that the each can graze the maximum unshared area. What area will be left ungrazed? [Take π = 3.14.]

Answer 1

Let r be the radius of the circle.

Thus, we have ;

`r = 50/2 "m"`

= 25 m

Area left ungrazed = (Area of the square) - 4(Area of the sector where r = 25 m and θ = 90°)

`=|(50xx50)-4(3.14xx25xx25xx90/360)|"m"^2`

`=|2500-(4xx(19625)/4)|"m"^2`

`=(2500 - 1962.5)  "m"^2`

= 537.5 m²