Solve for the indicated variable. Include all of your work in your answer. Submit your solution. $$ C=2 \pi r $$, for r

Question

UpStudy AI · Accepted Answer

To solve for $$ r $$ in the equation $$ C = 2\pi r $$, follow these steps:

1. **Start with the given equation:**
   $$
   C = 2\pi r
   $$

2. **Isolate $$ r $$ by dividing both sides of the equation by $$ 2\pi $$:**
   $$
   \frac{C}{2\pi} = \frac{2\pi r}{2\pi}
   $$

3. **Simplify the right side of the equation:**
   $$
   \frac{C}{2\pi} = r
   $$

4. **Rearrange the equation to express $$ r $$ clearly:**
   $$
   r = \frac{C}{2\pi}
   $$

**Final Answer:**
$$
r = \frac{C}{2\pi}
$$
$$ r = \frac{C}{2\pi} $$

Solve for the indicated variable. Include all of your work in your answer. Submit your solution. \( C=2 \pi r \), for r