Answered

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The circumference of a circle can be found using the formula [tex]C = 2 \pi r[/tex].

Which is an equivalent equation solved for [tex]r[/tex]?

A. [tex]r = \frac{C}{\pi}[/tex]
B. [tex]r = C (2 \pi)[/tex]
C. [tex]r = \frac{C}{2 \pi}[/tex]
D. [tex]r = \frac{2 \pi}{C}[/tex]

Sagot :

GinnyAnswer
To solve for [tex]\( r \)[/tex] in the equation [tex]\( C = 2 \pi r \)[/tex], follow these steps:

1. Start with the original equation for the circumference of a circle:
[tex]\[ C = 2 \pi r \][/tex]

2. To isolate [tex]\( r \)[/tex], you need to divide both sides of the equation by [tex]\( 2 \pi \)[/tex]. This will give you:
[tex]\[ \frac{C}{2 \pi} = r \][/tex]

3. Rearrange the equation to have [tex]\( r \)[/tex] on the left side:
[tex]\[ r = \frac{C}{2 \pi} \][/tex]

So, the equivalent equation solved for [tex]\( r \)[/tex] is:
[tex]\[ r = \frac{C}{2 \pi} \][/tex]

Therefore, the correct choice is:
[tex]\[ r = \frac{C}{2 \pi} \][/tex]
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