Question

a cow tied with a rope of 7 m on the corner of a square field 11 cm long is grazing the find the area of the grazed field by the cow​

Answer 1

Answer:

278.5 m².

Step-by-step explanation:

The required area=area of the square field-area of the sector with radius r=21m and 

θ=90∘

=⎝⎜⎜⎛25×25−360722×21×21×90⎠⎟⎟⎞m2

=(625−422×3×21)m2

=(625−346.5)m2

=278.5 m2

Answer 2

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