Find the area of a circle whose circumference is $22cm$.

The correct option is B: $38.5c{m}^2$

Let ${}^{\prime }{r}^{\prime }$ be the radius of the circle.

Then, Circumference $=22cm$

$\Rightarrow 2\pi r=22$ [$\because$ Circumference of circle $=2\pi r$ ]

$\Rightarrow 2\times \frac{22}{7}\times r=22$ [Taking $\pi =\frac{22}{7}$]

$\Rightarrow r=\frac{7}{2}cm$

$\therefore$ Area of the circle$=\pi r^2$

$=\frac{22}{7}\times \frac{7}{2}\times \frac{7}{2}c{m}^2$

$=38.5c{m}^2$