Problem 42
Question
Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? \(C=2 \pi r\) for \(r\)
Step-by-Step Solution
Verified Answer
The radius 'r' of a circle when the circumference 'C' is known can be calculated as \(r = \frac{C}{2 \pi}\).
1Step 1: Identify the Original Equation
The given formula is \(C = 2 \pi r\), this is used to find the circumference of a circle.
2Step 2: Isolate the Variable r
To solve for 'r', we divide both sides of the equation by \(2 \pi\). This gives us the equation \(r = \frac{C}{2 \pi}\).
3Step 3: Verify the Solution
Substituting the value of 'r' obtained in our original formula, it should yield the given circumference 'C'.
Other exercises in this chapter
Problem 42
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