Question

A cow is tied to a pole, fixed to the midpoint of a side of a square field of dimensions $40m\times 40m$, by means of $14m$ long rope. Find the area that the cow can graze.

• A. $254m^2$
• B. $308m^2$
• C. $245m^2$
• D. $380m^2$

Answer 1

Answer: (B)

$308m^2$

The area that cow can graze is in the form of semicircle.
Radius of semicircle
Length of rope $=14m$
Required area $=\frac{1}{2}\times \pi r^2$
$=\frac{1}{2}\times \frac{22}{7}\times r^2$
$=\frac{1}{2}\times \frac{22}{7}\times 14\times 14=308m^2$.