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.
(If there is no image below, see support page.)
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
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where:
R is the radius of the circle
π is Pi, approximately 3.142
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If you know the diameter
If you know the diameter of a circle, the circumference can be found using the formula
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where:
D is the diameter of the circle
π is Pi, approximately 3.142
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If you know the area
If you know the area of a circle, the circumference can be found using the formula
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
(C) 2007 Copyright John Page
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