What is the circumference of a 1 inch circle?
Understand the Problem
The question is asking for the circumference of a circle with a radius of 1 inch, which can be calculated using the formula C = 2πr, where r is the radius.
Answer
$$ C = 2\pi \text{ inches} $$
Answer for screen readers
$$ C = 2\pi \text{ inches} $$
Steps to Solve
- Identify the radius
The radius of the circle is given as $r = 1$ inch.
- Substitute into the formula
We will substitute the value of the radius into the circumference formula, which is $C = 2\pi r$.
- Calculate the circumference
Now, we will perform the calculation:
$$ C = 2\pi(1) $$
This simplifies to:
$$ C = 2\pi $$
- Provide a numerical approximation
If needed, you can provide a numerical approximation of $C = 2\pi$ using $\pi \approx 3.14$:
$$ C \approx 2 \times 3.14 = 6.28 \text{ inches} $$
$$ C = 2\pi \text{ inches} $$
More Information
The circumference of a circle is a key property that helps in understanding the relationship between a circle's diameter and its radius. Using the approximation of $\pi \approx 3.14$, you could also say that the circumference is approximately $6.28$ inches.
Tips
- Forgetting to multiply by $2\pi$ or incorrectly using the formula for circumference.
- Not substituting the radius correctly.
- Miscalculating the numerical value of $\pi$ leading to incorrect approximations.
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