Question

Find the circumference and area of the circle if diameter is $35cm$

Answer 1

Step 1 Finding the circumference of the circle:

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

$$\begin{gathered} =2\times \frac{22}{7}\times \frac{35}{2}(\sin cediameter=35cmsoradius=\frac{35}{2}cm) \\ =5\times 22 \\ =110cm. \end{gathered}$$

Hence, the circumference of the circle is $110cm.$

Step 2 Finding the area of the circle:

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

$$\begin{gathered} =\frac{22}{7}\times \frac{35}{2}\times \frac{35}{2} \\ =\frac{1925}{2} \\ =962.5c{m}^2. \end{gathered}$$

Hence, the area of the circle is $962.5c{m}^2.$