Question

The diameter of a circle is 16 kilometers. Find the area of the circle.

Answer 1

The area of the circle is approximately 201.06 square kilometers.

Step-by-step explanation:

To find the area of a circle, we use the formula A = πr², where A is the area and r is the radius of the circle. The radius is half of the diameter, so in this case, the radius would be 8 kilometers. Plugging in the values, we get A = 3.14159 x 8² = 201.06176 square kilometers. Therefore, the area of the circle is approximately 201.06 square kilometers.

Answer 2

The diameter of a circle is 16 kilometers. Then the area of the circle is
`201.062 \mathrm{km}^(2)`

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.

`\begin{array}{l}{\text { diameter }=2 * \text { radius } \rightarrow \text { radius }=\frac{\text {diameter}}{2}} \\\\ {\rightarrow \text { radius }=(16)/(2) \rightarrow \text { radius }=8 \text { kilometers. }}\end{array}`

The area of circle is given as:

`\begin{array}{l}{\text { area of a circle }=\pi * r^2 \\ {\text { Area of a circle }=\pi * 8^(2)=\pi * 64=64 * 3.14=201.062}\end{array}`

Hence, the area of the circle is 201.062
`km^2`