Question

Find the circumference and area of the circle if radius is $14cm.$

Answer 1

Step 1 Finding the circumference of the circle:

Circumference of the circle$=2\mathrm{\pi r}\mathrm{where}\mathrm{r}\mathrm{is}\mathrm{the}\mathrm{radius}\mathrm{of}\mathrm{the}\mathrm{circle}.$

$$\begin{gathered} =2\times \frac{22}{7}\times 14 \\ =2\times 22\times 2 \\ =88cm. \end{gathered}$$

Therefore, the circumference of the circle is $88cm.$

Step 2 Finding the area of the circle:

Area of the circle$={\mathrm{\pi r}}^2\mathrm{where}\mathrm{r}\mathrm{is}\mathrm{the}\mathrm{radius}\mathrm{of}\mathrm{the}\mathrm{circle}.$

$$\begin{gathered} =\frac{22}{7}\times 14\times 14 \\ =22\times 2\times 14 \\ =616c{m}^2. \end{gathered}$$

Therefore, the area of the circle is $616c{m}^2.$

Hecne, the circumference of the circle is $88cm$and the area of the circle is $616c{m}^2.$