Question

A horse is tethered to one corner of a rectangular grossy field $40m$ by $24m$ with a rope $14m$ long. Over how much area of the field can it graze?

• A. $154m^2$
• B. $308m^2$
• C. $150m^2$
• D. $175m^2$

Answer 1

The correct option is A $154m^2$

As the horse is tied at one corner of a rectangular field, so area covered for grazing will be equal to a quadrant of a circle

Here, the radius is $14m$

Then, area $=\frac{1}{4}$ of Area of circle

$=\frac{1}{4}\times \pi r^2$

$=\frac{1}{4}\times \frac{22}{7}\times 14\times 14=154m^2$