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 [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.
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.
