Question

A horse is tied to a pole fixed at one corner of a $50m\times 50m$ square field of grass by means of a $20m$ long rope. What is the area to the nearest whole number of that part of the field which the horse can graze?

• A. $1256m^2$
• B. $942m^2$
• C. $628m^2$
• D. $314m^2$

Answer 1

The correct option is D $314m^2$

The area of the field in which the horse can graze is one fourth of the circle of radius $20cm$
Area of a circle $=\pi r^2$
Hence, area of the field in which the horse can graze $=\frac{1}{4}\times \frac{22}{7}\times 20\times 20=314$ sq m