Question

A horse is placed for grazing inside a rectangular field of 70 m by 52 m and is tethered to one corner by a rope 21 m long. On how much area can it graze?

• A. $386.5m^2$
• B. $325.5m^2$
• C. $346.5m^2$
• D. $246.5m^2$

Answer 1

The correct option is C $346.5m^2$

The part of the field on which the horse can graze $=$ Area of the quadrant of the circle with radius 21 m long

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

$=\frac{1}{4}\times \frac{22}{7}\times {21}^2$

$=346.5m^2$

So, the area that the horse can graze is 346.5 $m^2$