Circumference, Perimeter of a circle
From Latin: circum "around" + ferre "to carry"
The distance around the edge of a circle. Also 'periphery' , 'perimeter'.
Try this Drag the orange dots to move and resize the circle. The circumference is shown in red. Note the radius changes and the circumference is calculated for that radius.
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You sometimes see the word 'circumference' to mean the curved line that goes around the circle. Other times it means the length of that line, as in "the circumference is 2.11cm".

The word 'perimeter' is also sometimes used, although this usually refers to the distance around polygons, figures made up of straight line segments.



If you know the radius
Given the radius of a circle, the circumference can be calculated using the formula
where:
R  is the radius of the circle
π  is Pi, approximately 3.142


If you know the diameter
If you know the diameter of a circle, the circumference can be found using the formula
where:
D  is the diameter of the circle
π  is Pi, approximately 3.142


If you know the area
If you know the area of a circle, the circumference can be found using the formula
where:
A  is the area of the circle
π  is Pi, approximately 3.142
Related measures

Radius The radius is the distance from the center to any point on the edge. See radius of a circle

Diameter The distance across the circle. See Diameter of a Circle for more.

Other circle topics

General

Angles in a circle

Arcs