To solve the formula [tex]\(C = \pi d\)[/tex] for [tex]\(d\)[/tex], we need to isolate [tex]\(d\)[/tex] on one side of the equation. Here are the steps:
1. Start with the given formula:
[tex]\[
C = \pi d
\][/tex]
2. To isolate [tex]\(d\)[/tex], we need to divide both sides of the equation by [tex]\(\pi\)[/tex]:
[tex]\[
\frac{C}{\pi} = \frac{\pi d}{\pi}
\][/tex]
3. Simplify the right side of the equation:
[tex]\[
\frac{C}{\pi} = d
\][/tex]
Thus, we have:
[tex]\[
d = \frac{C}{\pi}
\][/tex]
By solving [tex]\(C = \pi d\)[/tex] for [tex]\(d\)[/tex], we get the equation [tex]\(d = \frac{C}{\pi}\)[/tex].
Given the options:
A. [tex]\(d = C - \pi\)[/tex]
B. [tex]\(d = \pi C\)[/tex]
C. [tex]\(d = \frac{\pi}{C}\)[/tex]
D. [tex]\(d = \frac{C}{\pi}\)[/tex]
The correct answer is:
D. [tex]\(d = \frac{C}{\pi}\)[/tex]
