To find the area of a circle with a diameter of 16 units, we can follow these steps:
1. Determine the radius of the circle:
The radius is half of the diameter. Since the diameter is 16 units, we calculate the radius as follows:
[tex]\[
\text{radius} = \frac{\text{diameter}}{2} = \frac{16}{2} = 8 \text{ units}
\][/tex]
2. Use the formula for the area of a circle:
The formula to find the area [tex]\(A\)[/tex] of a circle is given by:
[tex]\[
A = \pi r^2
\][/tex]
where [tex]\(r\)[/tex] is the radius of the circle.
3. Substitute the radius and the value of [tex]\(\pi\)[/tex]:
Given that the radius [tex]\(r\)[/tex] is 8 units and using [tex]\(3.14\)[/tex] for the value of [tex]\(\pi\)[/tex], we substitute these values into the formula:
[tex]\[
A = \pi \times r^2 = 3.14 \times (8)^2
\][/tex]
4. Compute the squared radius:
[tex]\[
8^2 = 64
\][/tex]
5. Calculate the area:
[tex]\[
A = 3.14 \times 64 = 200.96 \text{ units}^2
\][/tex]
Therefore, the area of the circle is [tex]\(200.96\)[/tex] square units.
