Question

Q a cow is tied with a rope of 7m the grass grazed field by the grass is ? with solutions


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Answer 1

The area of the field in which the cow cannot graze is 281.5 m^2281.5m

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

360

θ

πr

2

=

360

90

×

7

22

7

2

=38.5m

2

Length of rectangular field = 20 m

Breadth of rectangular field = 16 m

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

2

The area of the field in which the cow cannot graze = 320 - 38.5 = 281.5 m^2320−38.5=281.5m

2

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