The circumference of a circle is `17pi`. What is the diameter?

Answer

To find the diameter of a circle when the circumference is given, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the formula for circumference**:
The formula for the circumference (C) of a circle is given by:
\[ C = 2\pi r \]
where \( r \) is the radius of the circle.

2. **Set up the equation**:
We know from the problem that the circumference is \( 17\pi \). Therefore, we can set up the equation:
\[ 2\pi r = 17\pi \]

3. **Cancel out \( \pi \)**:
Since \( \pi \) is present on both sides of the equation, we can divide both sides by \( \pi \):
\[ 2r = 17 \]

4. **Solve for the radius**:
To find the radius \( r \), we divide both sides of the equation by 2:
\[ r = \frac{17}{2} = 8.5 \]

5. **Find the diameter**:
The diameter \( d \) of a circle is twice the radius:
\[ d = 2r \]
Substituting the value of \( r \) we found:
\[ d = 2 \times 8.5 = 17 \]

### Final Answer:
The diameter of the circle is \( 17 \).

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