Question

Consider a circle with a circumference of 8 centimeters. Which equation shows how the relationship between the circumference and the diameter of this circle is equivalent to π?
Responses
A π = 8dπ = 8d
B π =

π = d 8
C π =

π = 8 d
D π =

Answer 1

To relate the circumference (C) of a circle to its diameter (d), the formula is given by:

\[ C = \pi d \]

In this case, the circumference is provided as 8 centimeters, so we can set up the equation as:

\[ 8 = \pi d \]

To express \( \pi \) in terms of the circumference and diameter, we can rearrange the equation:

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

Substituting the circumference value:

\[ \pi = \frac{8}{d} \]

Now, looking at the options provided, it appears none of them are correctly formatted in standard notation. However, we can summarize that the relationship between the circumference and diameter is related through:

\[ \pi = \frac{8}{d} \]

If your intent was to find an option that accurately represents this relationship, please ensure that the formatting of the options is correctly transcribed or clarify further. Based on the logic, the closest relationship resembles:

C: \( \pi = \frac{8}{d} \)

Let me know if there's anything else you'd like to clarify!