**Interactive Slope of a line. Click and drag points to see formula in action


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Circumference of a Circle

Formula for circumference with examples


The circumference of a circle is the edge or rim of a circle itself. It is the equivalent of 'perimeter' for a circle. In other words, if you took a circle and unrolled it, you would have its circumference. You can use either of the formulas below to find circumference of a circle. One formula use the radius of a circle; the other formula uses the diameter.
  • Formula for Circumference

    = 2Πr where r is the radius of a circle.
  • alternately,
    circumference Formula
    = d• Π where d is the diameter of a circle.
  • **These two formulas are just two different ways of finding the same thing (circumference) because the diameter of a circle =2• radius. So you should make use of whichever formula is more convenient. If you know a circle's radius, use the first version of the formula; if you know the diameter, use the second.

The rotating line on the left is an example of a circle's radius.


If the radius of a circle is 1 inch (1"), then the circumference of the circle = 2Π• 1" ≈   6.28"


Practice Problems

Problem 1) What is the circumference of the circle below.
circumference
  Circumference  


Problem 2) What is the circle's circumference?
circumference of 9 inch circle   Circumference  
Problem 3) What is the circumference of the circle pictured below?
circumference practice problem   Circumference  
Problem 4) What is the circumference of a circle with a radius of 5"?
  Circumference  
Practice Problems (Medium)


Problem 5) A circle's circumference is (22Π)". What is the radius of this circle?
  radius  
Problem 6) A circle's circumference is (102Π)". What is the diameter of the circle?
  diameter   circumference = 2Π•r = d×Π= 102 Π"
d = (102Π")/Π = 102"

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