Question

The cost of levelling a circular field at $Rs.2$ per sq. metre is $Rs.33957$. Calculate the circumference of the circular field.

• A. $462m$
• B. $456m$
  
• C. $416m$
  
• D. $621m$
  

Answer 1

The correct option is A $462m$

Let the radius of the circle be r.
Area of the circle is $\pi r^2$
Thus,
$\pi r^2\times 2=33957$
$=>r^2=\frac{33957\times 7}{2\times 22}$
$=>r^2=5402.25$
$=>r=73.5$ m
Thus, circumference of the circle $=2\pi r$
$=2\times \frac{22}{7}\times 73.5$
$=462$ m