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 =
Responses
A π = 8dπ = 8d
B π =
π = d 8
C π =
π = 8 d
D π =
Answers
GPT-4o mini
To relate the circumference \( C \) and the diameter \( d \) of a circle using π, the formula to remember is:
\[
C = \pi d
\]
Given that the circumference \( C \) is 8 centimeters, we can write the equation as:
\[
8 = \pi d
\]
To express this in terms of π, we can solve for π:
\[
\pi = \frac{8}{d}
\]
None of the given responses appear to be formatted correctly based on this equation. However, based on the context and the loose formatting of the options, the correct relationship in terms of π would be:
\[
\pi = \frac{8}{d}
\]
If one of the options resembles this equation, that would be the correct choice. Please double-check the provided response options for the closest match!
\[
C = \pi d
\]
Given that the circumference \( C \) is 8 centimeters, we can write the equation as:
\[
8 = \pi d
\]
To express this in terms of π, we can solve for π:
\[
\pi = \frac{8}{d}
\]
None of the given responses appear to be formatted correctly based on this equation. However, based on the context and the loose formatting of the options, the correct relationship in terms of π would be:
\[
\pi = \frac{8}{d}
\]
If one of the options resembles this equation, that would be the correct choice. Please double-check the provided response options for the closest match!