Difference between revisions of "Circumference"
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| − | '''Circumference''' is essentially a synonym for [[perimeter]]: for a given [[closed curve]] in the [[plane]], it is the distance one travels in a complete circuit of the curve. The term circumference is most frequently used to refer to the distance around a [[circle]], though it may refer to the distance around any [[smooth]] curve, while the term perimeter is typically reserved for [[polygon]]s. | + | '''Circumference''' is essentially a synonym for [[perimeter]]: for a given [[closed curve]] in the [[plane]], it is the distance one travels in a complete circuit of the curve. The term circumference is most frequently used to refer to the distance around a [[circle]], though it may refer to the distance around any [[smooth]] curve, while the term perimeter is typically reserved for [[polygon]]s and other non curving shapes. |
==Formulas== | ==Formulas== | ||
Revision as of 16:27, 9 February 2020
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Circumference is essentially a synonym for perimeter: for a given closed curve in the plane, it is the distance one travels in a complete circuit of the curve. The term circumference is most frequently used to refer to the distance around a circle, though it may refer to the distance around any smooth curve, while the term perimeter is typically reserved for polygons and other non curving shapes.
Formulas
In a circle of radius 
and diameter 
, the circumference 
is given by
![\[C = \pi \cdot d = 2\pi \cdot r\]](http://latex.artofproblemsolving.com/3/5/8/358134d6a09f1e059e89656f96ac8faf3bb4d11a.png)
Indeed, the constant 
(pi) was originally defined to be the ratio of the circumference of a circle to the length of its diameter.
