The radius of a circle is 12 cm long what would its circumference be

Step 1: Identify the given information

We are given that the radius of the circle, denoted by $r$, is 12 cm. The radius is the distance from the center of the circle to any point on its boundary.

Step 2: Recall the formula for circumference

The circumference of a circle, denoted by $C$, is the distance around the circle. The formula to calculate the circumference is $C = 2\pi r$, where $r$ is the radius and $\pi$ (pi) is a mathematical constant approximately equal to 3.14159.

Step 3: Substitute the value and calculate

Now, we substitute the given radius $r = 12 \text{ cm}$ into the circumference formula. This gives us $C = 2 \times \pi \times 12 \text{ cm}$, which simplifies to $C = 24\pi \text{ cm}$. We can leave the answer in terms of $\pi$ for an exact value.

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