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?
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 of a circle is given by:
where is the diameter of the circle. Alternatively, we can express it in terms of the radius :
3. ### Analysis and Detail
Given that the diameter of the circle is 2 meters, we can find the radius:
Now we can use the formula for circumference using either diameter or radius.
Using the diameter:
4. ### Verify and Summarize
Thus, the circumference can also be calculated using the radius:
Both methods yield the same result.
Final Answer
The circumference of the circle is:
(using ).
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