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
𝜋
.(1 point)
Responses
78.5 square mm
78.5 square mm
79 square mm
79 square mm
15.7 square mm
15.7 square mm
314 square mm
𝜋
.(1 point)
Responses
78.5 square mm
78.5 square mm
79 square mm
79 square mm
15.7 square mm
15.7 square mm
314 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.
Given the diameter of the circle is 10 millimeters, the radius \( r \) is half of the diameter:
\[
r = \frac{10 \text{ mm}}{2} = 5 \text{ mm}
\]
Now, using \( \pi \approx 3.14 \):
\[
\text{Area} = 3.14 \times (5 \text{ mm})^2
\]
Calculating the radius squared:
\[
(5 \text{ mm})^2 = 25 \text{ mm}^2
\]
Now, substitute back into the area formula:
\[
\text{Area} = 3.14 \times 25 \text{ mm}^2
\]
Calculating that:
\[
\text{Area} = 78.5 \text{ mm}^2
\]
Thus, the area of the circle is **78.5 square mm**.
\[
\text{Area} = \pi r^2
\]
where \( r \) is the radius of the circle.
Given the diameter of the circle is 10 millimeters, the radius \( r \) is half of the diameter:
\[
r = \frac{10 \text{ mm}}{2} = 5 \text{ mm}
\]
Now, using \( \pi \approx 3.14 \):
\[
\text{Area} = 3.14 \times (5 \text{ mm})^2
\]
Calculating the radius squared:
\[
(5 \text{ mm})^2 = 25 \text{ mm}^2
\]
Now, substitute back into the area formula:
\[
\text{Area} = 3.14 \times 25 \text{ mm}^2
\]
Calculating that:
\[
\text{Area} = 78.5 \text{ mm}^2
\]
Thus, the area of the circle is **78.5 square mm**.