Question

A horse is tethered to one corner of a rectangular groggy field 40 m by 24 m with a rope 14 m 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

Answer: (A)

$154m^2$

The part of the field on which the horse can graze $=$ Area of the quadrant of the circle with radius 14 m long

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

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

$=154m^2$

So, the area that the horse can graze is $154m^2$