Question

A horse, a cow and a goat are tied, each by ropes of length 14 m, at the corners A, B and C respectively, of a grassy triangular field ABC with sides of lengths 35 m, 40 m and 50 m. Find the total area of grass field that can be grazed by them

Answer 1

Each animal can graze in a circle of radius 14 m. The area grazed is:
\[\text{Area grazed by one animal} = \pi r^2 = \pi (14)^2 = 196\pi \, \text{sq.m}.\]
Total area grazed:
\[3 \times 196\pi = 588\pi \, \text{sq.m}.\]
Correct Answer: $588\pi \, \text{sq.m}$.