Question

Sides of a right triangular field are 25m, 24m and 7m. At the three corners of the field, a cow, a buffalo and a horse are tied separately with ropes of 3.5 m each to graze in the field. Find the area of the field that cannot be grazed by these animals.

Answer 1

Required Area = Area of triangle – Area of 3 sectors

Area of Triangle = 1/2 x 24 x 7 = 84 m2

Area of three sectors = πr2/360° x (sum of three angles of triangle)

= (22 x 7 x 7 x 180°/ 7 x 2 x 2 x 360°)

= 77/4

or 19.25 m2

∴ Required Area = 259/4 or 64.75 m2