Question

A cow is tied with a rope of length 7 m at a corner of a rectangular field of dimensions 20 m16 m. Find the area of the field in which the cow cannot graze.

Answer 1

to find the un grazed area we have to find total area from that we reduce the grazed area

Answer 2

The area of the field in which the cow cannot graze is $281.5 m^2$

Step-by-step explanation:

A cow is tied with a rope of length 7 m at a corner of a rectangular field

All angles of rectangle are 90°

Length of rope = 7 m

Area of sector that cow can graze =$\frac{\theta}{360} \pi r^2 = \frac{90}{360} \times \frac{22}{7} 7^2 =38.5 m^2$

Length of rectangular field = 20 m

Breadth of rectangular field = 16 m

Area of field =$Length \times Breadth = 20 \times 16 = 320 m^2$

The area of the field in which the cow cannot graze = $320 - 38.5 = 281.5 m^2$

Hence The area of the field in which the cow cannot graze is 281.5 m^2

#learn more :

A cow is tied with rope of length 3.5m at corner of a rectangular field of dimensions 22m×15m .Find the area of the field in which cow can graze and in which she cannot graze.

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