Question

Solve for t
…………………………

Answer 1

S = 2πrt + 4πr²

2πrt = S - 4πr²

t = (S - 4πr²)/(2πr)

= (S/(2πr)) - 2r

Answer 2

`t=(S-4\pi r^2)/(2\pi r^2)`

Explanation:

We are trying to solve for the variable t in the equation:

`S = 2\pi rt + 4\pi r^2`

First, we need to isolate the term with t (2πrt) by subtracting 4πr² from both sides:

`S - 4\pi r^2 = 2\pi rt`

Then, we need to divide by t's coefficient (2πr):

`\boxed{(S-4\pi r^2)/(2\pi r^2) = t}`