Question

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

• A. $16978m^2$
• B. $16778m^2$
• C. $16878m^2$
• D. $16678m^2$

Answer 1

Answer: (A)

$16978m^2$

Let the radius of the circle be r.
Area of the circle is $\pi r^2$
Thus,
$\pi r^2\times 2=33957$
$\Rightarrow r^2=\frac{33957\times 7}{2\times 22}$
$\Rightarrow r^2=5402.25$
$\Rightarrow r=73.5$ m
Area of the circular field $=\pi r^2$
$=\frac{22}{7}\times (73.5{)}^2$
$=16978m^2$