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 = d/8
π = d 8
C π = 8/d
π = 8 d
D π = 1/8d
Responses
A π = 8dπ = 8d
B π = d/8
π = d 8
C π = 8/d
π = 8 d
D π = 1/8d
Answers
GPT-4o mini
To find the relationship between the circumference \( C \) and the diameter \( d \) of a circle, we use the formula:
\[
C = \pi d
\]
Given that the circumference \( C \) is 8 centimeters, we can set up the equation:
\[
8 = \pi d
\]
To express this in terms of \( \pi \), we can rearrange it to solve for \( \pi \):
\[
\pi = \frac{8}{d}
\]
Thus, the correct choice that shows this relationship is:
**C: \( \pi = \frac{8}{d} \)**.
\[
C = \pi d
\]
Given that the circumference \( C \) is 8 centimeters, we can set up the equation:
\[
8 = \pi d
\]
To express this in terms of \( \pi \), we can rearrange it to solve for \( \pi \):
\[
\pi = \frac{8}{d}
\]
Thus, the correct choice that shows this relationship is:
**C: \( \pi = \frac{8}{d} \)**.