Question
What is the area of a circle with a diameter of 10 millimeters? Estimate the area to the tenths place using 3.14 for T.
(1 point)
• 314 square mm
• 79 square mm
• 78.5 square mm.
15.7 square mm
(1 point)
• 314 square mm
• 79 square mm
• 78.5 square mm.
15.7 square mm
Answers
GPT-4o mini
To find the area of a circle, you use the formula:
\[
\text{Area} = \pi r^2
\]
where \( r \) is the radius of the circle. The radius is half of the diameter. Given that the diameter is 10 millimeters, the radius \( r \) is:
\[
r = \frac{10 \, \text{mm}}{2} = 5 \, \text{mm}
\]
Now, using \( \pi \approx 3.14 \), we can calculate the area:
\[
\text{Area} = 3.14 \times (5 \, \text{mm})^2
\]
\[
= 3.14 \times 25 \, \text{mm}^2
\]
\[
= 78.5 \, \text{mm}^2
\]
Thus, the estimated area of the circle is **78.5 square mm**.
The correct answer is:
• 78.5 square mm.
\[
\text{Area} = \pi r^2
\]
where \( r \) is the radius of the circle. The radius is half of the diameter. Given that the diameter is 10 millimeters, the radius \( r \) is:
\[
r = \frac{10 \, \text{mm}}{2} = 5 \, \text{mm}
\]
Now, using \( \pi \approx 3.14 \), we can calculate the area:
\[
\text{Area} = 3.14 \times (5 \, \text{mm})^2
\]
\[
= 3.14 \times 25 \, \text{mm}^2
\]
\[
= 78.5 \, \text{mm}^2
\]
Thus, the estimated area of the circle is **78.5 square mm**.
The correct answer is:
• 78.5 square mm.