To find the area of the circle when given the diameter, follow these steps:
1. Finding the Radius:
Since the diameter is given as 8 millimeters, we can find the radius [tex]\( r \)[/tex] by dividing the diameter by 2:
[tex]\[
r = \frac{d}{2} = \frac{8}{2} = 4 \text{ millimeters}
\][/tex]
2. Calculating the Area:
The formula for the area [tex]\( A \)[/tex] of a circle is:
[tex]\[
A = \pi r^2
\][/tex]
Given that [tex]\( \pi \)[/tex] (pi) is approximately 3.14 and we have already calculated the radius to be 4 millimeters, we can plug these values into the formula:
[tex]\[
A = 3.14 \times (4)^2
\][/tex]
3. Performing the Squaring Operation:
[tex]\[
(4)^2 = 4 \times 4 = 16
\][/tex]
4. Multiplying by Pi:
[tex]\[
A = 3.14 \times 16 = 50.24 \text{ square millimeters}
\][/tex]
Thus, the area of the circle is [tex]\( 50.24 \)[/tex] square millimeters.
