a circle has radius 3cm. what is the circumference?

Answer: The circumference of the circle is 6π cm6\pi \text{ cm}.

Step-by-step solution

Step 1: Recall the formula for circumference

The circumference of a circle, denoted by CC, is the distance around the circle. The formula to calculate the circumference is C=2πrC = 2\pi r, where rr is the radius of the circle and π\pi (pi) is a mathematical constant approximately equal to 3.141593.14159.

Step 2: Substitute the given radius

We are given that the radius rr of the circle is 3 cm3 \text{ cm}. We substitute this value into the circumference formula.

Step 3: Calculate the circumference

Now, we multiply the numbers together: 2×3=62 \times 3 = 6. So, the circumference of the circle is 6π cm6\pi \text{ cm}. We leave π\pi in the answer unless a specific numerical approximation is requested.

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