Problem 60 - College Algebra Essentials

Question

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

Step-by-Step Solution

Answer

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

Step 1: 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 \(r\)

Step 2: Isolate the variable r

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

Step 3: Simplify the solution

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