Step 1: Understanding the Diameter.
The diameter of a circle is twice the radius. This means the formula for the diameter is:
\[
\text{Diameter} = 2 \times \text{radius} = 2r.
\]
Step 2: Verifying the Options.
- Option (1): \( 2r \) is the correct formula for the diameter.
- Option (2): \( 3r \) is incorrect.
- Option (3): \( \frac{3}{2}r \) is incorrect.
- Option (4): \( 4r \) is incorrect.
Conclusion:
Therefore, the correct answer is (1) \( 2r \).