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
4.3 mm
4.3 mm
8.6 mm
8.6 mm
84.8 mm
Responses
17.2 mm
17.2 mm
4.3 mm
4.3 mm
8.6 mm
8.6 mm
84.8 mm
Answers
GPT-4o mini
The circumference \( C \) of a circle is related to its diameter \( d \) by the formula:
\[
C = \pi d
\]
To find the diameter, we can rearrange the formula:
\[
d = \frac{C}{\pi}
\]
Given that the circumference \( C \) is 27 mm, we can substitute that value into the equation:
\[
d = \frac{27}{\pi}
\]
Using \( \pi \approx 3.14159 \):
\[
d \approx \frac{27}{3.14159} \approx 8.6 \text{ mm}
\]
Rounding to the nearest tenth of a mm, the diameter is approximately:
\[
\text{Diameter} \approx 8.6 \text{ mm}
\]
Thus, the correct answer is:
**8.6 mm**
\[
C = \pi d
\]
To find the diameter, we can rearrange the formula:
\[
d = \frac{C}{\pi}
\]
Given that the circumference \( C \) is 27 mm, we can substitute that value into the equation:
\[
d = \frac{27}{\pi}
\]
Using \( \pi \approx 3.14159 \):
\[
d \approx \frac{27}{3.14159} \approx 8.6 \text{ mm}
\]
Rounding to the nearest tenth of a mm, the diameter is approximately:
\[
\text{Diameter} \approx 8.6 \text{ mm}
\]
Thus, the correct answer is:
**8.6 mm**