Question:
The area of a circle is 49 π cm2. Its circumference is
(a) 7 π cm
(b) 14 π cm
(c) 21 π cm
(d) 28 π cm
Solution:
(b) 14π cm
Let the radius be r cm.
We know:
Area of a circle $=\pi r^{2}$
Thus, we have:
$\pi r^{2}=49 \pi$
$\Rightarrow r^{2}=49$
$\Rightarrow r=\sqrt{49}$
$\Rightarrow r=7$
Now,
Circumference of the circle $=2 \pi \mathrm{r}$
$=\left(2 \times \frac{22}{7} \times 7\right) \mathrm{cm}$
$=14 \pi \mathrm{cm}$