Question
If the circumference of a circle is 27 mm, then what is the diameter to the nearest tenth of a mm?(1 point)
Responses
17.2 mm
17.2 mm
8.6 mm
8.6 mm
84.8 mm
84.8 mm
4.3 mm
Responses
17.2 mm
17.2 mm
8.6 mm
8.6 mm
84.8 mm
84.8 mm
4.3 mm
Answers
GPT-4o mini
To find the diameter of a circle when you know the circumference, you can use the formula for circumference, which is:
\[ C = \pi d \]
where \( C \) is the circumference and \( d \) is the diameter. You can rearrange this formula to solve for the diameter:
\[ d = \frac{C}{\pi} \]
Given that the circumference \( C \) is 27 mm, you can substitute that into the formula:
\[ d = \frac{27 \text{ mm}}{\pi} \]
Using \( \pi \approx 3.14 \):
\[ d \approx \frac{27}{3.14} \approx 8.6 \text{ mm} \]
Now, rounding to the nearest tenth of a mm, the diameter is:
**8.6 mm**
So the correct answer is **8.6 mm**.
\[ C = \pi d \]
where \( C \) is the circumference and \( d \) is the diameter. You can rearrange this formula to solve for the diameter:
\[ d = \frac{C}{\pi} \]
Given that the circumference \( C \) is 27 mm, you can substitute that into the formula:
\[ d = \frac{27 \text{ mm}}{\pi} \]
Using \( \pi \approx 3.14 \):
\[ d \approx \frac{27}{3.14} \approx 8.6 \text{ mm} \]
Now, rounding to the nearest tenth of a mm, the diameter is:
**8.6 mm**
So the correct answer is **8.6 mm**.