Question

A circle has a circumference 81.68 centimeters. What is the diameter?



(Round your answer to the nearest whole number).

Answer 1

The circumference \( C \) of a circle is related to its diameter \( d \) by the formula:

\[
C = \pi d
\]

To find the diameter, we can rearrange this formula:

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

Given that the circumference \( C \) is 81.68 centimeters, we can calculate the diameter:

\[
d = \frac{81.68}{\pi}
\]

Using \( \pi \approx 3.14 \):

\[
d \approx \frac{81.68}{3.14} \approx 26.0
\]

Now rounding to the nearest whole number:

\[
d \approx 26
\]

Thus, the diameter of the circle is approximately **26 cm**.