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 π .(1 point)
Responses
79 square mm
79 square mm
78.5 square mm
78.5 square mm
314 square mm
314 square mm
15.7 square mm
15.7 square mm
Responses
79 square mm
79 square mm
78.5 square mm
78.5 square mm
314 square mm
314 square mm
15.7 square mm
15.7 square mm
Answers
GPT-4o mini
To find the area of a circle, you can use the formula:
\[
\text{Area} = \pi r^2
\]
Where \( r \) is the radius of the circle. The radius is half of the diameter. Since the diameter of the circle is 10 millimeters, the radius will be:
\[
r = \frac{10}{2} = 5 \text{ mm}
\]
Now, substituting the radius into the area formula using \( \pi \approx 3.14 \):
\[
\text{Area} = 3.14 \times (5)^2
\]
\[
\text{Area} = 3.14 \times 25
\]
\[
\text{Area} = 78.5 \text{ square mm}
\]
So, the area of the circle is approximately **78.5 square mm**.
\[
\text{Area} = \pi r^2
\]
Where \( r \) is the radius of the circle. The radius is half of the diameter. Since the diameter of the circle is 10 millimeters, the radius will be:
\[
r = \frac{10}{2} = 5 \text{ mm}
\]
Now, substituting the radius into the area formula using \( \pi \approx 3.14 \):
\[
\text{Area} = 3.14 \times (5)^2
\]
\[
\text{Area} = 3.14 \times 25
\]
\[
\text{Area} = 78.5 \text{ square mm}
\]
So, the area of the circle is approximately **78.5 square mm**.