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 4.3 mm 4.3 mm 84.8 mm 84.8 mm 17.2 mm 17.2 mm 8.6 mm
Answers
GPT-4o mini
To find the diameter of the circle when the circumference is given, you can use the formula for circumference:
\[
C = \pi \times d
\]
where \(C\) is the circumference and \(d\) is the diameter. We can rearrange the formula to solve for the diameter:
\[
d = \frac{C}{\pi}
\]
Plugging in the given circumference:
\[
d = \frac{27 \text{ mm}}{\pi} \approx \frac{27}{3.14159} \approx 8.6 \text{ mm}
\]
So, the diameter of the circle is approximately **8.6 mm**.
\[
C = \pi \times d
\]
where \(C\) is the circumference and \(d\) is the diameter. We can rearrange the formula to solve for the diameter:
\[
d = \frac{C}{\pi}
\]
Plugging in the given circumference:
\[
d = \frac{27 \text{ mm}}{\pi} \approx \frac{27}{3.14159} \approx 8.6 \text{ mm}
\]
So, the diameter of the circle is approximately **8.6 mm**.