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=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
Alright, let's start by examining the given circumference formula for a circle:

[tex]\[ C = 2 \pi r \][/tex]

Our goal is to solve this equation for the radius [tex]\( r \)[/tex]. To do this, we need to isolate [tex]\( r \)[/tex] on one side of the equation. We'll go through the steps carefully.

1. Starting equation:
[tex]\[ C = 2 \pi r \][/tex]

2. Isolate [tex]\( r \)[/tex]:
To isolate [tex]\( r \)[/tex], we need to divide both sides of the equation by [tex]\( 2 \pi \)[/tex].

[tex]\[ r = \frac{C}{2 \pi} \][/tex]

Therefore, the equivalent equation solved for [tex]\( r \)[/tex] is:

[tex]\[ r = \frac{C}{2 \pi} \][/tex]

Among the options provided, the correct one is:

[tex]\[ r = \frac{C}{2 \pi} \][/tex]
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