Question

A cow is tethered with a rope of length 35 m at the centre of the rectangular field of length 76 m and breadth 60 m. Find the area of the land that the cow cannot graze?

Answer 1

Length of the field l = 76 m

Breadth of the field b = 60 m

Area of the field A = l x b sq. units 

= 76 x 60 m²

Area of the field A = 4560 m²

Length of the rope = 35 m

Radius of the land that the cow can graze = 35 m

Area of the land tha the cow can graze = circle of radius 35 m 

= πr² sq.units

π x 35 x 35 m² = \(\frac{22}{7}\) x 35 x 35 m²

= 3850 m²

Area of the land the cow cannot graze = Area of the field – Area

that the cow can graze

= (4560 – 3860) m² 

= 710 m²

Area of the land that the cow cannot graze = 710 m²