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 84.8 mm 84.8 mm 17.2 mm 17.2 mm 8.6 mm 8.6 mm 4.3 mm
Answers
GPT-4o mini
To find the diameter of a circle when the circumference is given, you can use the formula for the circumference of a circle:
\[
C = \pi d
\]
Where:
- \( C \) is the circumference,
- \( d \) is the diameter,
- \( \pi \approx 3.14 \).
Given that the circumference \( C \) is 27 mm, you can rearrange the formula to solve for the diameter:
\[
d = \frac{C}{\pi}
\]
Substituting the value of the circumference into the equation:
\[
d = \frac{27 \text{ mm}}{\pi} \approx \frac{27}{3.14} \approx 8.6 \text{ mm}
\]
Thus, the diameter to the nearest tenth of a mm is **8.6 mm**.
\[
C = \pi d
\]
Where:
- \( C \) is the circumference,
- \( d \) is the diameter,
- \( \pi \approx 3.14 \).
Given that the circumference \( C \) is 27 mm, you can rearrange the formula to solve for the diameter:
\[
d = \frac{C}{\pi}
\]
Substituting the value of the circumference into the equation:
\[
d = \frac{27 \text{ mm}}{\pi} \approx \frac{27}{3.14} \approx 8.6 \text{ mm}
\]
Thus, the diameter to the nearest tenth of a mm is **8.6 mm**.