Question

Two cows are tethered at the mid point of two adjacent sides of a square field each of them is tied with a rope in such a way that grazing are of each cow is a semi circular region of diameter equal to the side of square if the side of square is 10 then following the answer question

Answer 1

Answer:

Grazed area =  25 + 25π/2 sq units

ungrazed area  = 75 - 25π/2

Step-by-step explanation:

Area of a square = Side² = 10² = 100 sq units

Diameter = 10

Radius = 10/2 = 5

Area of Semicircle = (1/2)πR²  = 25π/2

Area of both Semi Circles = 25π

But there is Common area  of grazing for Both Cows

Common Area = 2 *  ( (90/360)πR²  - (1/2)* 5 * 5)

= 2 * ( 25π/4  - 25/2)

= 25π/2  - 25

Total Grazed area = 25π  - (25π/2  - 25)

= 25 + 25π/2