Find the diameter and radius of a circle with the given circumference. Round to the nearest hundredth

1. Break Down the Problem

To find the diameter and radius of a circle given its circumference, we can use the following relationships:

• Circumference ($C$) is related to the radius ($r$) by the formula: $C = 2\pi r$
• The diameter ($d$) is related to the radius by the formula: $d = 2r$

2. Relevant Concepts

Using the formula for circumference, we can express radius and diameter in terms of circumference:

• Rearranging the circumference formula to find the radius: $r = \frac{C}{2\pi}$
• To find the diameter: $d = 2r = \frac{C}{\pi}$

3. Analysis and Detail

1. Calculate the Radius:
   • Substitute the circumference into the formula for radius: $r = \frac{C}{2\pi}$
2. Calculate the Diameter:
   • Substitute the radius back into the diameter formula or directly use: $d = \frac{C}{\pi}$

4. Verify and Summarize

After calculations, make sure to round the results to the nearest hundredth as required.

Final Answer

Given the circumference $C$, the radius $r$ and the diameter $d$ can be calculated as follows:

• Radius: $r = \frac{C}{2\pi}$
• Diameter: $d = \frac{C}{\pi}$ Both rounded to the nearest hundredth as needed.