Carrie works at a lab with a huge circular particle accelerator. It has a diameter of 4 miles. What is the accelerator's circumference?

To find the circumference of the circular particle accelerator, we will use the formula for the circumference of a circle, which is given by:

$C = \pi \times d$

where $C$ is the circumference and $d$ is the diameter of the circle.

1. Break Down the Problem

• We know the diameter of the accelerator, which is 4 miles.
• We need to calculate the circumference using the formula.

2. Relevant Concepts

• Diameter $d = 4$ miles.
• The value of $\pi$ (approximately 3.14159) will be used in the calculation.

3. Analysis and Detail

Let's substitute the known values into the formula:

$C = \pi \times 4 \text{ miles}$

Now, we'll calculate the circumference:

$C \approx 3.14159 \times 4 \approx 12.56636 \text{ miles}$

4. Verify and Summarize

To summarize:

• The formula used is correct.
• The calculation was verified.

Final Answer

The circumference of the particle accelerator is approximately $12.57$ miles.