The diameter of a circle is 16 kilometers. Then the area of the circle is [tex]201.062 \mathrm{km}^{2}[/tex]
Solution:
Given that , the diameter of a circle is 16 kilometers
We have to find the area of the circle .
Radius is half of diameter.
[tex]\begin{array}{l}{\text { diameter }=2 \times \text { radius } \rightarrow \text { radius }=\frac{\text {diameter}}{2}} \\\\ {\rightarrow \text { radius }=\frac{16}{2} \rightarrow \text { radius }=8 \text { kilometers. }}\end{array}[/tex]
The area of circle is given as:
[tex]\begin{array}{l}{\text { area of a circle }=\pi \times r^2 \\ {\text { Area of a circle }=\pi \times 8^{2}=\pi \times 64=64 \times 3.14=201.062}\end{array}[/tex]
Hence, the area of the circle is 201.062 [tex]km^2[/tex]
