Given the formula A = 2πr + h, solve for r.
A. r = A-2π/h
B. r = A+h/2π
C. r = A-h/2π
D. r = A(2πr) - h
The correct answer is B. r = (A - h)/2π.
To solve for r in the equation A = 2πr + h, we need to isolate r on one side of the equation. Here is how you can do it step by step:
1. Start with the equation: A = 2πr + h.
2. Subtract h from both sides of the equation to isolate the term 2πr: A - h = 2πr.
3. Divide both sides of the equation by 2π to solve for r: (A - h) / 2π = r.
So the correct answer is C. r = (A - h) / 2π.
To solve for r in the given formula A = 2πr + h, we can follow these steps:
1. Move the term 2πr to the other side of the equation by subtracting it from both sides:
A - 2πr = h
2. Divide both sides of the equation by -2π to isolate r:
(A - 2πr) / -2π = h / -2π
3. Simplify the equation:
r = (A - 2πr) / -2π
Therefore, the correct answer is option A:
r = (A - 2πr) / -2π