Given the formula: A = 2πr + h, solve for r

Answer 1

To solve the formula \( A = 2\pi r + h \) for \( r \), follow these steps:

1. Start with the original equation: \[ A = 2\pi r + h \]

2. Subtract \( h \) from both sides to isolate the term with \( r \): \[ A - h = 2\pi r \]

3. Now, divide both sides by \( 2\pi \) to solve for \( r \): \[ r = \frac{A - h}{2\pi} \]

Therefore, the solution for \( r \) is: \[ r = \frac{A - h}{2\pi} \]