5a. A circle has a circumference of 131.95 meters. What is the diameter and how did you calculate it?

1 answer

To find the diameter of a circle given its 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. To find the diameter, you can rearrange the formula:

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

Given the circumference \(C = 131.95\) meters, you can substitute this value into the formula:

\[ d = \frac{131.95}{\pi} \]

Using an approximation for \(\pi \approx 3.14\):

\[ d \approx \frac{131.95}{3.14} \approx 42.0 \text{ meters} \]

For a more precise calculation, you can use a more accurate value of \(\pi \approx 3.14159\):

\[ d \approx \frac{131.95}{3.14159} \approx 42.00 \text{ meters} \]

Thus, the diameter of the circle is approximately 42.00 meters.