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Chapter 6: Problem 48

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

Short Answer

Expert verified
\(r = \frac{C}{2 \pi}\)

Step by step solution

01

Identify the variable we need to solve for

We are asked to solve for \(r\), which is the radius of the circle represented by this formula.
02

Solve the formula for the specified variable

Originally, the formula is set as \(C = 2 \pi r\). We need to isolate \(r\). In order to do this, we divide both sides of the equation by \(2 \pi\) to keep the equation balanced, which results in \(r = \frac{C}{2 \pi}\).
03

Confirm the solution

The right side now represents the value of \(r\) in terms of \(C\) and \(\pi\). It gives us the radius of a circle when we know its circumference \(C\).

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