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91Ó°ÊÓ

Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? $$C=2 \pi r \text { for } r$$

Short Answer

Expert verified
The variable \(r\) is solved as \(r = \frac{C}{2 \pi}\)

Step by step solution

01

Understanding the problem

The formula \(C = 2 \pi r\) represents the circumference of a circle where \(C\) is the circumference and \(r\) is the radius. The task is to solve this formula for the variable \(r\)
02

Isolate the variable r

To isolate \(r\), divide both sides of the equation by \(2 \pi\). Thus, \(r = \frac{C}{2 \pi}\)
03

Simplify the solution

There's no further simplification possible, hence the solution remains as \(r = \frac{C}{2 \pi}\)

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