Circle Circumference Formula:
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The circumference of a circle is the distance around its outer edge. It is calculated using the mathematical constant π (pi) and either the radius or diameter of the circle.
The calculator uses the circumference formula:
Where:
Explanation: The formula calculates the perimeter of a circle using its diameter and the constant π.
Details: Calculating circumference is essential in geometry, engineering, construction, and various scientific applications where circular measurements are required.
Tips: Enter both radius and diameter values in consistent units. All values must be positive numbers greater than zero.
Q1: What is the relationship between radius and diameter?
A: The diameter is twice the radius (D = 2r), and the radius is half the diameter (r = D/2).
Q2: What is the value of π used in calculations?
A: The calculator uses the PHP constant M_PI which provides π with approximately 14 decimal places of precision.
Q3: Can I calculate circumference using only radius?
A: Yes, circumference can also be calculated as C = 2 × π × r using the radius instead of diameter.
Q4: What units should I use for measurements?
A: You can use any consistent units (cm, m, inches, etc.) as long as both radius and diameter use the same unit system.
Q5: Why do I need to provide both radius and diameter?
A: The calculator is designed to work with both measurements, but they must be mathematically consistent (D = 2r).