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
8.6 mm
8.6 mm
17.2 mm
17.2 mm
4.3 mm
4.3 mm
84.8 mm
Responses
8.6 mm
8.6 mm
17.2 mm
17.2 mm
4.3 mm
4.3 mm
84.8 mm
Answers
GPT-4o mini
The circumference \( C \) of a circle is related to its diameter \( d \) by the formula:
\[
C = \pi d
\]
Given that the circumference \( C \) is 27 mm, we can rearrange the formula to solve for the diameter \( d \):
\[
d = \frac{C}{\pi}
\]
Substituting in the value of the circumference:
\[
d = \frac{27}{\pi}
\]
Now, using \( \pi \approx 3.14 \):
\[
d \approx \frac{27}{3.14} \approx 8.6 \text{ mm}
\]
Therefore, the diameter of the circle to the nearest tenth of a mm is **8.6 mm**.
\[
C = \pi d
\]
Given that the circumference \( C \) is 27 mm, we can rearrange the formula to solve for the diameter \( d \):
\[
d = \frac{C}{\pi}
\]
Substituting in the value of the circumference:
\[
d = \frac{27}{\pi}
\]
Now, using \( \pi \approx 3.14 \):
\[
d \approx \frac{27}{3.14} \approx 8.6 \text{ mm}
\]
Therefore, the diameter of the circle to the nearest tenth of a mm is **8.6 mm**.