Solve S= 3.14RL + 3.14R^2 for L

3.14 R L = S - 3.14 R^2

L = (S - 3.14 R^2) / 3.14 R

divide by 3.14R ... S / (3.14R) = L + R

subtract R ... [S / (3.14R)] - R = L

To solve the equation S = 3.14RL + 3.14R^2 for L, we need to isolate L on one side of the equation. Here's how you can solve it step by step:

Step 1: Start with the given equation:
S = 3.14RL + 3.14R^2

Step 2: Subtract 3.14R^2 from both sides of the equation to isolate the term with L:
S - 3.14R^2 = 3.14RL

Step 3: Divide both sides of the equation by 3.14R to solve for L:
(S - 3.14R^2) / (3.14R) = L

The final equation is:
L = (S - 3.14R^2) / (3.14R)

So, L can be found by taking the difference S - 3.14R^2, and dividing it by 3.14R.