Question

Four horses are tied on the four corners of a square field of $14m$ length so that each horse can just touch the other two horses. They were able to graze in the men accessible to them for $11$ days. For how many days is the ungrazed area sufficient for them?

• A. 3 days
• B. 4 days
• C. 5 days
• D. 2 days

Answer 1

The correct option is A 3 days

Side of the square field $=14m$
Area of field $=14\times 14=196m^2$
Area of field that can be grazed $=$ area of $4$quadrants or area of $1$ circle with radius $7m$
$=\pi \times 7^2$
$=\frac{22}{7}\times 49=154m^2$
Now, Area that cannot be grazed $=196-154=42m^2$
now, No. of days required to graze $154m^2=11$
No. of days required to graze $1m^2=\frac{11}{154}$
No. of days required to graze $42m^2=\frac{11}{154}\times 42=3days$