Circumference Formula:
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The circumference of a circle is the linear distance around its edge. It's the circle's perimeter and is directly proportional to its diameter or radius.
The calculator uses the circumference formula:
Where:
Explanation: The circumference is calculated by multiplying 2 times pi (π) times the radius of the circle.
Details: Calculating circumference is fundamental in geometry, engineering, and various real-world applications like wheel rotation, circular construction, and more.
Tips: Enter the radius in any length unit (meters, inches, feet, etc.). The result will be in the same units. Radius must be a positive number.
Q1: What's the difference between circumference and perimeter?
A: Circumference is specifically the perimeter of a circle, while perimeter refers to the total distance around any closed shape.
Q2: Can I calculate circumference from diameter?
A: Yes, the formula becomes \( C = \pi d \) where d is diameter (diameter = 2 × radius).
Q3: Why is pi used in the formula?
A: Pi (π) is the constant ratio of a circle's circumference to its diameter, approximately 3.14159.
Q4: What are some practical uses of circumference?
A: Calculating fencing needed for circular areas, determining wheel rotations per distance traveled, designing circular objects.
Q5: How accurate is this calculation?
A: The calculation is mathematically exact. Any inaccuracy comes from measurement of the radius or rounding of pi.