To solve this problem, we calculate the circumference of the circle. The formula for the circumference ($C$) of a circle is:

$C = 2 \pi r$

Step-by-step solution:

1. The given radius ($r$) is $3 \, \text{cm}$.

2. Substituting the value of $r = 3 \, \text{cm}$ into the formula: $C = 2 \pi (3)$

3. Simplify the expression: $C = 6 \pi$

4. Approximate $\pi \approx 3.14$ for a numerical result: $C = 6 \times 3.14 = 18.84 \, \text{cm}$

Final Answer:

The circumference of the circle is: $18.84 \, \text{cm}$

Explanation:

The circumference is the total distance around the circle, calculated using the radius and the constant $\pi$, which represents the ratio of the circumference to the diameter of any circle.

Would you like further explanation, or do you have any questions?

Related Questions:

1. How would the circumference change if the radius were doubled?
2. What is the relationship between the radius and the diameter of a circle?
3. Can you derive the formula for circumference using the definition of $\pi$?
4. What is the area of the circle with a radius of $3 \, \text{cm}$?
5. How do we calculate the diameter if the circumference is given?

Tip:

Always remember to use the formula $C = 2\pi r$ for quick circumference calculations, and approximate $\pi$ as $3.14$ or use a calculator for higher precision.