Question

A horse tied to a pole with a long rope can graze an area of $2332m^2$. Find the length of the rope. $(\text{Take}\pi =\frac{22}{7})$

• A. $56m$
• B. $20m$
• C. $27.23m$
• D. $24.23m$

Answer 1

The correct option is C $27.23m$

Given: Area of the field grazed $=2332m^2$

Area of a circle $=\pi r^2$

$2332=\frac{22}{7}{r}^2$

$\frac{2332}{22}=\frac{22}{22\times 7}{r}^2$

$106\times 7=r^2$

$742=r^2$

$r=27.23m$