Circumference - Revision history

en>Pinethicket: Reverted edits by 208.111.205.38 (talk) to last version by 1.9.134.98

2014-12-08T13:24:33Z

Reverted edits by 208.111.205.38 (talk) to last version by 1.9.134.98

← Older revision		Revision as of 15:24, 8 December 2014
Line 1:		Line 1:
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en>Widr: Reverted edits by 198.232.222.246 (talk) to last version by ClueBot NG

2014-02-27T21:48:16Z

Reverted edits by 198.232.222.246 (talk) to last version by ClueBot NG

← Older revision		Revision as of 23:48, 27 February 2014
Line 1:		Line 1:
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	~~'''Circumference''' is the linear distance around~~ the [~~[Edge_(geometry)\|edge]] of a closed [[curve]] or circular object.<ref>{{cite web \| url=~~http://~~www-rohan~~.~~sdsu~~.~~edu~~/~~~pwbrock~~/~~files/UNIT9.3.pdf \| title~~ =~~Perimeter, Area and Circumference \|~~ author ~~=[[San Diego State University]~~] ~~\| publisher =[[Addison~~-~~Wesley]] \| year =2004}}</ref> The circumference of a [[circle]] is of special importance in geometry and trigonometry~~. ~~However "circumference" may also refer to the edge of elliptical closed curve. Circumference is a special case~~ of ~~[[perimeter]] in that~~ the ~~perimeter is typically around a polygon while circumference is around a closed curve.~~

	~~== Circumference of a circle ==~~
	[[File:Circle-withsegments.svg\|thumb\|210px\|left\|Circle illustration with circumference (C) in black, diameter (D) in cyan, radius (R) in red, and centre or origin (O) in magenta. Circumference = {{pi}} × diameter = 2 × {{pi}} × radius.]]
	~~The circumference of a circle is~~ the ~~distance around it. The term is used when measuring physical objects, as well as when considering abstract geometric forms.~~
	[~~[File~~:~~2pi-unrolled~~.~~gif\|thumb\|320px\|center\|When a circle's [[radius]] is 1, its circumference is 2{{pi}}~~.]]
	~~[[File:Pi-unrolled-720.gif\|thumb\|320px\|center\|When a circle's [[diameter]]~~ is ~~1, its circumference is {{pi}}.]]~~
	~~=== Relationship with Pi ===~~

	~~The circumference of a [[circle]] relates~~ to one of the most important [[mathematical constant]]s in all of [[mathematics]]. This [[Constant (mathematics)\|constant]], [[pi]], is represented by the [[Greek letter]] [[Pi (letter)\|{{pi}}]]. The numerical value of {{pi}} is 3.14159 26535 89793 ... (see {{OEIS2C\|id=A000796}}), and ~~is defined by two [[Proportionality_(mathematics)#Direct_proportionality\|proportionality constants]]~~. ~~The first constant~~ is ~~the [[ratio]] of a circle~~'s ~~circumference~~ to ~~its [[diameter]] and equals {{pi}}. While the second constant is the ratio~~ of the ~~diameter and two times the [[radius]] and is used as to convert the diameter to radius in the same ratio as the first, {{pi}}~~. ~~Both proportionality constants combine in respect with circumference {{math\|~~'~~'c''}}, diameter {{math\|''d''}}, and radius {{math\|''r''}} to become:~~

	~~:<math>{C}=\pi\cdot{d}=2\pi\cdot{r}.\!</math>~~

	~~The use of the mathematical constant {{pi}} is ubiquitous in mathematics, engineering, and science~~. ~~While the constant ratio of circumference to radius~~ <~~math~~>~~{C}/{r} = 2\pi~~<~~/math~~> ~~also has many uses in mathematics, engineering, and science, it is not formally named~~. ~~These uses include but are not limited to [[radian]]s, [[computer programming]], and [[physical constants]]~~.

	~~== Circumference of an ellipse ==~~
	~~The [[ellipse#Circumference\|circumference of an ellipse]] can be expressed in terms of the [[complete elliptic integral of the second kind]]~~.

	~~== Circumference of a graph ==~~
	~~In [[graph theory]] the circumference of a [[graph~~ (~~mathematics)\|graph]] refers to the longest [[cycle (graph theory)\|cycle]] contained in that graph.~~

	~~== See also ==~~
	* [[Arclength]]
	* [[Area]]
	* [[Caccioppoli set]]
	* [[Isoperimetric inequality]]
	* [[Pythagorean Theorem]]
	* [[Volume]]

	~~==References==~~
	~~{{Reflist}}~~

	~~== External links ==~~
	~~{{wikibooks\|Geometry\|Circles/Arcs\|Arcs}}~~
	~~{{Wiktionary\|circumference}}~~
	* [http://www.~~numericana~~.~~com~~/~~answer~~/~~ellipse.htm#elliptic Numericana~~ - ~~Circumference of an ellipse]~~
	* [http://www.mathopenref.com/circumference.html Circumference of a circle] With interactive applet and animation

	~~[[Category:Geometric measurement]]~~
	~~[[Category:Circles]~~]

en>ClueBot NG: Reverting possible vandalism by 50.198.237.93 to version by Discospinster. False positive? Report it. Thanks, ClueBot NG. (1657761) (Bot)

2014-01-17T12:44:18Z

Reverting possible vandalism by 50.198.237.93 to version by Discospinster. False positive? Report it. Thanks, ClueBot NG. (1657761) (Bot)

← Older revision		Revision as of 14:44, 17 January 2014
Line 1:		Line 1:
	~~Hello from Italy~~. ~~I'm glad to came here~~. ~~My first name is~~ Diego. <br>~~I live~~ in a ~~small town called Porcia~~ in ~~nothern Italy~~.~~<br>I was also born~~ in ~~Porcia 29 years ago~~. ~~Married~~ in ~~October year 2000~~. I'~~m working at~~ the ~~university~~.<br><br>~~my website~~ ... ~~Fifa 15 Coin Generator~~ ([http://www.~~thesunshinesp~~.com/~~?attachment_id=5~~ http://www.~~Thesunshinesp~~.com/])		{{Pi box}}
			'''Circumference''' is the linear distance around the [[Edge_(geometry)\|edge]] of a closed [[curve]] or circular object.<ref>{{cite web \| url=http://www-rohan.sdsu.edu/~pwbrock/files/UNIT9.3.pdf \| title =Perimeter, Area and Circumference \| author =[[San Diego State University]] \| publisher =[[Addison-Wesley]] \| year =2004}}</ref> The circumference of a [[circle]] is of special importance in geometry and trigonometry. However "circumference" may also refer to the edge of elliptical closed curve. Circumference is a special case of [[perimeter]] in that the perimeter is typically around a polygon while circumference is around a closed curve.

			== Circumference of a circle ==
			[[File:Circle-withsegments.svg\|thumb\|210px\|left\|Circle illustration with circumference (C) in black, diameter (D) in cyan, radius (R) in red, and centre or origin (O) in magenta. Circumference = {{pi}} × diameter = 2 × {{pi}} × radius.]]
			The circumference of a circle is the distance around it. The term is used when measuring physical objects, as well as when considering abstract geometric forms.
			[[File:2pi-unrolled.gif\|thumb\|320px\|center\|When a circle's [[radius]] is 1, its circumference is 2{{pi}}.]]
			[[File:Pi-unrolled-720.gif\|thumb\|320px\|center\|When a circle's [[diameter]] is 1, its circumference is {{pi}}.]]
			=== Relationship with Pi ===

			The circumference of a [[circle]] relates to one of the most important [[mathematical constant]]s in all of [[mathematics]]. This [[Constant (mathematics)\|constant]], [[pi]], is represented by the [[Greek letter]] [[Pi (letter)\|{{pi}}]]. The numerical value of {{pi}} is 3.14159 26535 89793 ... (see {{OEIS2C\|id=A000796}}), and is defined by two [[Proportionality_(mathematics)#Direct_proportionality\|proportionality constants]]. The first constant is the [[ratio]] of a circle's circumference to its [[diameter]] and equals {{pi}}. While the second constant is the ratio of the diameter and two times the [[radius]] and is used as to convert the diameter to radius in the same ratio as the first, {{pi}}. Both proportionality constants combine in respect with circumference {{math\|''c''}}, diameter {{math\|''d''}}, and radius {{math\|''r''}} to become:

			:<math>{C}=\pi\cdot{d}=2\pi\cdot{r}.\!</math>

			The use of the mathematical constant {{pi}} is ubiquitous in mathematics, engineering, and science. While the constant ratio of circumference to radius <math>{C}/{r} = 2\pi</math> also has many uses in mathematics, engineering, and science, it is not formally named. These uses include but are not limited to [[radian]]s, [[computer programming]], and [[physical constants]].

			== Circumference of an ellipse ==
			The [[ellipse#Circumference\|circumference of an ellipse]] can be expressed in terms of the [[complete elliptic integral of the second kind]].

			== Circumference of a graph ==
			In [[graph theory]] the circumference of a [[graph (mathematics)\|graph]] refers to the longest [[cycle (graph theory)\|cycle]] contained in that graph.

			== See also ==
			* [[Arclength]]
			* [[Area]]
			* [[Caccioppoli set]]
			* [[Isoperimetric inequality]]
			* [[Pythagorean Theorem]]
			* [[Volume]]

			==References==
			{{Reflist}}

			== External links ==
			{{wikibooks\|Geometry\|Circles/Arcs\|Arcs}}
			{{Wiktionary\|circumference}}
			* [http://www.numericana.com/answer/ellipse.htm#elliptic Numericana - Circumference of an ellipse]
			* [http://www.mathopenref.com/circumference.html Circumference of a circle] With interactive applet and animation

			[[Category:Geometric measurement]]
			[[Category:Circles]]

en>Reddwarf2956: changed "linear correlations" to "proportionality constants"

2012-08-29T02:14:06Z

changed "linear correlations" to "proportionality constants"

New page

Hello from Italy. I'm glad to came here. My first name is Diego. <br>I live in a small town called Porcia in nothern Italy.<br>I was also born in Porcia 29 years ago. Married in October year 2000. I'm working at the university.<br><br>my website ... Fifa 15 Coin Generator ([http://www.thesunshinesp.com/?attachment_id=5 http://www.Thesunshinesp.com/])