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An experienced ice skater spins on the ice, creating a perfect circle with a diameter of 2 meters. What is the circle's circumference?

Question

An experienced ice skater spins on the ice, creating a perfect circle with a diameter of 2 meters. What is the circle's circumference?

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Solution

1. ### Break Down the Problem

To find the circumference of a circle, we need to identify its radius and then use the formula for circumference.

2. ### Relevant Concepts

The formula for the circumference C C of a circle is given by:

C=π×d C = \pi \times d

where d d is the diameter of the circle. Alternatively, we can express it in terms of the radius r r :

C=2πr C = 2 \pi r

3. ### Analysis and Detail

Given that the diameter of the circle is 2 meters, we can find the radius:

r=d2=2 m2=1 m r = \frac{d}{2} = \frac{2 \text{ m}}{2} = 1 \text{ m}

Now we can use the formula for circumference using either diameter or radius.

Using the diameter:

C=π×2 m=2π m C = \pi \times 2 \text{ m} = 2\pi \text{ m}

4. ### Verify and Summarize

Thus, the circumference C C can also be calculated using the radius:

C=2π×1 m=2π m C = 2 \pi \times 1 \text{ m} = 2\pi \text{ m}

Both methods yield the same result.

Final Answer

The circumference of the circle is:

C6.28 meters C \approx 6.28 \text{ meters}

(using π3.14 \pi \approx 3.14 ).

This problem has been solved

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