Question

Find the radius and area of the circle if its circumference is $11m.$

Answer 1

Step 1 Finding the radius of the circle:

Given the circumference of the circle=$11m.$

$$\begin{gathered} 2\mathrm{\pi r}=176 \\ 2\times \frac{22}{7}\times \mathrm{r}=11 \\ \mathrm{r}=\frac{11\times 7}{22\times 2} \\ \mathrm{r}=\frac{7}{4} \\ \mathrm{r}=1.75m. \end{gathered}$$

Hence the radius of the circle is $1.75m.$

Step 2 Finding the area of the circle:

Area of the circle=${\mathrm{\pi r}}^2\mathrm{sq}.\mathrm{units}(\mathrm{r}\mathrm{is}\mathrm{the}\mathrm{radius}\mathrm{of}\mathrm{the}\mathrm{circle})$

$$\begin{gathered} =\frac{22}{7}\times 1.75\times 1.75 \\ =22\times 0.25\times 1.75 \\ =9.625m^2. \end{gathered}$$

Hence, The area of the circle is $9.625m^2.$