Question

Find the diameter of the circle with the given circumference. Use 3.14 for pi.
Cequals24 cm
Question content area bottom
Part 1
The diameter is about
  
enter your response here cm.
​(Round to the nearest tenth as​ needed.)

Answer 1

To find the diameter of a circle given its circumference, you can use the formula:

\[
C = \pi \cdot d
\]

where \( C \) is the circumference and \( d \) is the diameter.

Given that the circumference (C) is 24 cm and using \( \pi \approx 3.14 \), we can rearrange the formula to solve for the diameter (d):

\[
d = \frac{C}{\pi}
\]

Now substitute the values:

\[
d = \frac{24 \text{ cm}}{3.14}
\]

Calculating that gives:

\[
d \approx 7.64 \text{ cm}
\]

Rounding to the nearest tenth:

\[
d \approx 7.6 \text{ cm}
\]

So, the diameter is about **7.6 cm**.