The circumference of a circle is C inches. The diameter of the circle is 17 inches. Which expression best represents the value of π?

A. c/17
B. 17/c
C. c/8.5
D. 8.5/c

1 answer

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

\[ C = \pi d \]

Given that the diameter \( d \) is 17 inches, we can rewrite the equation as:

\[ C = \pi \cdot 17 \]

To solve for \( \pi \), we can rearrange this equation:

\[ \pi = \frac{C}{17} \]

Thus, the expression that best represents the value of \( \pi \) is:

A. \( \frac{C}{17} \)