Sides of a right triangular field are 25m, 24m and 7m. At the three co

1.	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» 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

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»

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

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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.

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