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Solve the formula [tex]C = \pi d[/tex] for [tex]d[/tex].

A. [tex]d = \frac{\pi}{C}[/tex]

B. [tex]d = \frac{C}{\pi}[/tex]

C. [tex]d = \pi C[/tex]

D. [tex]d = C - \pi[/tex]


Sagot :

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 equation:
[tex]\[ C = \pi d \][/tex]

2. To isolate [tex]\( d \)[/tex], we need to divide both sides of the equation by [tex]\( \pi \)[/tex]. Doing so, we get:
[tex]\[ \frac{C}{\pi} = \frac{\pi d}{\pi} \][/tex]

3. The [tex]\( \pi \)[/tex] on the right-hand side will cancel out, leaving us with:
[tex]\[ \frac{C}{\pi} = d \][/tex]

Rewriting this, we find:
[tex]\[ d = \frac{C}{\pi} \][/tex]

Thus, the correct choice among the given options is:
[tex]\[ \boxed{B} \][/tex]
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