Question

If the circumference of a circle is $440cm$, then find its area.
(Take $\pi =\frac{22}{7}$)

• A. ${\text{15402 cm}}^2$
• B. ${\text{15400 cm}}^2$
• C. ${\text{140 cm}}^2$
• D. ${\text{1876 cm}}^2$

Answer 1

The correct option is B ${\text{15400 cm}}^2$

It is given that

Circumference of a circle $=440cm$
So, the radius $=\frac{C}{2\pi }$
Substituting the values

$=\frac{440\times 7}{2\times 22}$
We get

$=\frac{3088}{44}cm$
$=70cm$
Area of the circle $=\pi r^2=\frac{22}{7}\times 70\times 70=15400c{m}^2$