Question:
Find the circumference and area of a circle of radius 4.2 cm.
Solution:
We know that the circumference $C$ and area $A$ of a circle of radius $r$ are given by $C=2 \pi r$ and $A=\pi r^{2}$ respectively.
Here, $r=4.2 \mathrm{~cm}$
So substituting the value of r in above formulas,
Circumference of the circle
$C=2 \times \pi \times 4.2 \mathrm{~cm}$
$=2 \times \frac{22}{7} \times 4.2 \mathrm{~cm}$
$=26.4 \mathrm{~cm}$
Area of the circle
$A=\pi \times 4.2 \times 4.2 \mathrm{~cm}^{2}$
$=\frac{22}{7} \times 4.2 \times 4.2 \mathrm{~cm}^{2}$
$=55.4 \mathrm{~cm}^{2}$