Question

1
Q14, A cow is tied to a peg at one corner of a rectangular field of
dimensions 10 mx 8 m by a 3 m long rope. The area of the
part of the field in which the cow can graze is:
a. 14.14 m2
b.7.07 m2
c. 6.07 m2
d. None of these
​

Answer 1

Answer:

option b :7.07 m^2

Step-by-step explanation:

In this case angle of circulat path is 90°

area of sector =(1/4)×π×r×r

=(1/4)×3.14×3×3

=(1/4)×28.26

=7.065

nearest ans to this is option b

I hope this helps

Answer 2

Given:

The length and breadth of the rectangular field = $10\;m\;\times\;8\;m$

The length of the rope = $3\;m$

To find:

The area of the field the cow can graze

Formula:

$Area\;of\;quadrant=\;\frac{\mathrm{\pi r}^2}4$

Step-by-step explanation:

The cow grazes in the quadrant of the circle region with the radius of $3\;m$

$Area\;of\;quadrant=\;\frac{\mathrm{\pi r}^2}4$

⇒ $Area\;grazed\;by\;cow=\;\frac{22\times3\times3}{7\times4}$

⇒ $Area\;grazed\;by\;cow=\;7.07\;m^2$

Answer:

The area of the  part of the field in which the cow can graze is option (b) $7.07\;m^2$