To determine the correct equation for finding the circumference of a circle given its diameter of 4 cm, let's follow these steps:
1. Understand the relationship between the diameter and circumference:
- The formula for the circumference [tex]\(C\)[/tex] of a circle is [tex]\(C = \pi \times \text{diameter}\)[/tex].
2. Identify the given value:
- The diameter of the circle is given as 4 cm.
3. Substitute the given diameter into the circumference formula:
- Using the formula [tex]\(C = \pi \times \text{diameter}\)[/tex], we substitute the diameter:
[tex]\[
C = \pi \times 4
\][/tex]
4. Examine the provided options:
- Option 1: [tex]\(C = \pi \times 2\)[/tex]
- Option 2: [tex]\(C = \pi \times 4\)[/tex]
- Option 3: [tex]\(C = \frac{\pi \times 4}{2}\)[/tex]
- Option 4: [tex]\(C = \frac{\pi \times 4}{4}\)[/tex]
5. Compare the equation we derived with the options:
- The equation we derived is [tex]\(C = \pi \times 4\)[/tex].
From these steps, we conclude that the correct equation to find the circumference of a circle with a diameter of 4 cm is:
[tex]\[
C = \pi \times 4
\][/tex]
Therefore, the correct choice is:
[tex]\(\boxed{2}\)[/tex]
