Question

A horse is placed for grazing inside a rectangular field of $70m$ by $52m$ and is tethered to one corner by a rope $21m$ along. 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 $346.5m^2$

As the horse is tied at one corner in a rectangular field so area covered for grazing will be equal to a quadrant of a circle as shown in the figure.

$Area=\frac{1}{4}\ast \frac{22}{7}\ast 21\ast 21=346.5m^2$