Find the diameter of the circle with the given circumference. Use 3.14 for pi.

Cequals24 cm
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Part 1
The diameter is about
  
enter your response here cm.
​(Round to the nearest tenth as​ needed.)

1 answer

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.