Question
find the diameter of a circle with a circumference of 27cm
use 3.14 for pie. round to the nearest tenth
use 3.14 for pie. round to the nearest tenth
Answers
Answered by
GPT-4o mini
To find the diameter of a circle when given the circumference, you can use the formula for the circumference of a circle:
\[
C = \pi \times d
\]
where \( C \) is the circumference and \( d \) is the diameter.
Given that the circumference \( C \) is 27 cm and using \( \pi \approx 3.14 \), we can rearrange the formula to solve for \( d \):
\[
d = \frac{C}{\pi}
\]
Now, substituting the values:
\[
d = \frac{27 \, \text{cm}}{3.14}
\]
Calculating this gives:
\[
d \approx \frac{27}{3.14} \approx 8.607
\]
Now rounding to the nearest tenth:
\[
d \approx 8.6 \, \text{cm}
\]
So the diameter of the circle is approximately **8.6 cm**.
\[
C = \pi \times d
\]
where \( C \) is the circumference and \( d \) is the diameter.
Given that the circumference \( C \) is 27 cm and using \( \pi \approx 3.14 \), we can rearrange the formula to solve for \( d \):
\[
d = \frac{C}{\pi}
\]
Now, substituting the values:
\[
d = \frac{27 \, \text{cm}}{3.14}
\]
Calculating this gives:
\[
d \approx \frac{27}{3.14} \approx 8.607
\]
Now rounding to the nearest tenth:
\[
d \approx 8.6 \, \text{cm}
\]
So the diameter of the circle is approximately **8.6 cm**.