The diameter of a circle is 8 millimeters. What is the circle's area?
d-8 mm
Use 3.14 and round your answer to the nearest hundredth.
square millimeters

Verified Answer :

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 \(\( r \)\) by dividing the diameter by 2:
\(\[ r = \frac{d}{2} = \frac{8}{2} = 4 \text{ millimeters} \]\)

2. Calculating the Area:
The formula for the area \(\( A \)\) of a circle is:
\(\[ A = \pi r^2 \]\)
Given that \(\( \pi \)\) (pi) is approximately 3.14 and we have already calculated the radius to be 4 millimeters, we can plug these values into the formula:
\(\[ A = 3.14 \times (4)^2 \]\)

3. Performing the Squaring Operation:
\(\[ (4)^2 = 4 \times 4 = 16 \]\)

4. Multiplying by Pi:
\(\[ A = 3.14 \times 16 = 50.24 \text{ square millimeters} \]\)

Thus, the area of the circle is \(\( 50.24 \)\) square millimeters.