Question The radius of a circle is 3 in. Find its circumference in terms of \( \pi \). Answer Attempt 4 out of 5 \( C=18.84 \)

You're on the right track with your calculation! However, to express the circumference **in terms of \( \pi \)**, you should keep \( \pi \) as is instead of approximating it with a numerical value. Here's how you can do it: ### Step-by-Step Solution 1. **Recall the formula for the circumference of a circle:** \[ C = 2\pi r \] where: - \( C \) is the circumference, - \( r \) is the radius of the circle. 2. **Substitute the given radius into the formula:** Given that \( r = 3 \) inches, \[ C = 2\pi \times 3 \] 3. **Simplify the expression:** \[ C = 6\pi \] ### Final Answer The circumference of the circle **in terms of \( \pi \)** is: \[ C = 6\pi \text{ inches} \] ### Note on Your Attempt You calculated: \[ C = 6 \times 3.14 = 18.84 \text{ inches} \] This is a correct numerical approximation using \( \pi \approx 3.14 \). However, when a problem asks for an answer **in terms of \( \pi \)**, it's best to leave the answer as a multiple of \( \pi \) (i.e., \( 6\pi \) inches) to maintain precision. Great job on getting the right numeric value! For exactness in mathematical expressions, especially when dealing with \( \pi \), it's preferable to keep \( \pi \) in the expression.