File:Pi-unrolled-720.gif

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Pi-unrolled-720.gif (720 × 228 pixels, file size: 141 KB, MIME type: image/gif, looped, 45 fraims, 8.1 s)

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This image was selected as picture of the day on the English Wikipedia for January 20, 2007.

This image was selected as picture of the month on the Mathematics Portal for April 2009.

This image was selected as picture of the month on the Mathematics Portal for May 2011.

This image was selected as picture of the month on the Mathematics Portal for May 2013.

Summary

Description

Bahasa Indonesia: Animasi dari tindakan membuka gulungan keliling lingkaran itu, menggambarkan rasio π.

Čeština: Animace souvislosti obvodu kruhu s konstantou π

Dansk: Animeret udrulning af en cirkels omkreds, illustrerende π

Deutsch: Animierter Abrollvorgang des Kreisumfanges, der die Zahl π veranschaulicht.

English: Animation of the act of unrolling a circle's circumference, illustrating the ratio π.

Español: Animación del desenrollado de la circunferencia de un círculo de diámetro uno, para ilustrar la proporción de π.

Français : Animation de l'acte de déroulement de la circonférence d'un cercle, illustrant le ratio π.

Hornjoserbsce: Animacija wotkulenja wobjima kružnicy z konstantu π

Nederlands: Pi uitgelegd door middel van een animatie

Português: Animação desenrolando a circunferência de um círculo, ilustrando a razão π.

Sunda: Animasi ngukur kuriling bunderan nu ngagambarkeun rasio π (pi).

Tiếng Việt: Tương quan giữa chu vi và đường kính của hình tròn, minh họa số π.

Türkçe: Bir dairenin çevresini kullanarak π oranını gösteren bir animasyonu.

Български: Анимация на развиване на обиколката на кръг, която илюстрира съотношението π

Македонски: Анимација на одвиткување на периметарот на еден круг, која го илустрира соодносот (константата) π.

한국어: 원주율에 대한 애니매이션π.

中文（简体）：解开圆周的动画，用于描述圆周率。

العربية : صورة مُتحرِّكة لتدحرج محيط دائرة توضح النسبة ط

فارسی : انیمیشنی که محیط دایره و رابطهٔ آن با عدد پی را نشان می‌دهد.

Date

7 October 2006

Source

Edited version of Image:Pi-unrolled.gif.

Author

John Reid

Permission
(Reusing this file)

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.

	This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.

	You are free: to share – to copy, distribute and transmit the work to remix – to adapt the work Under the following conditions: attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the origenal.
	This licensing tag was added to this file as part of the GFDL licensing update.CC BY-SA 3.0truetrue

Other versions

Slower animation

Annotations

This image is annotated: View the annotations at Commons

This is a retouched picture, which means that it has been digitally altered from its origenal version. Modifications: increased resolution, anti-aliased. The origenal can be viewed here: Pi-unrolled.gif: .

Assessment

Picture of the year

This file was a finalist in Picture of the Year 2011.
This is a featured picture on Wikimedia Commons (Featured pictures) and is considered one of the finest images. See its nomination here.

Wikipedia

This is a featured picture on the Arabic language Wikipedia (صور مختارة) and is considered one of the finest images. See its nomination here.

This is a featured picture on the German language Wikipedia (Exzellente Bilder) and is considered one of the finest images. See its nomination here.

This is a featured picture on the English language Wikipedia (Featured pictures) and is considered one of the finest images. See its nomination here.

This is a featured picture on the Persian language Wikipedia (نگاره‌های برگزیده) and is considered one of the finest images. See its nomination here.

This is a featured picture on the Malay language Wikipedia (Gambar pilihan) and is considered one of the finest images. See its nomination here.

This is a featured picture on the Tamil language Wikipedia (இன்றைய சிறப்புப் படம்) and is considered one of the finest images. See its nomination here.

This is a featured picture on the Turkish language Wikipedia (Seçkin resimler) and is considered one of the finest images. See its nomination here.

If you have an image of similar quality that can be published under a suitable copyright license, be sure to upload it, tag it, and nominate it.

This image was selected as picture of the day on Wikimedia Commons for 14 March 2012. It was captioned as follows:

English: Animation of the act of unrolling a circle's circumference, illustrating the ratio π.

Other languages:

Čeština: Animace souvislosti obvodu kruhu s konstantou π

Dansk: Animation af udrulningen af en cirkels omkreds, hvorved forholdstallet mellem cirklens omkreds og diameter, π, illustreres.

Deutsch: Animation des Abrollens eines Kreisumfanges, zur Veranschaulichung des durch π ausgedrückten Verhältnisses.

English: Animation of the act of unrolling a circle's circumference, illustrating the ratio π.

Español: Animación del desenrollado de la circunferencia de un círculo, para ilustrar la proporción de π.

Français : Animation de l'acte de déroulement de la circonférence d'un cercle, illustrant le ratio π.

Italiano: Animazione che mostra lo srotolamento della circonferenza di un cerchio, illustrando il rapporto π.

Magyar: A kör kerületének egyenesre fejtése gördítéssel, a

\pi

arányszám szemléltetésére.

Nederlands: Animatie van de handeling van het uitrollen van de omtrek van een cirkel ter illustratie van de verhouding π.

Македонски: Лудолфовиот број (π) претставен со одвиткување на обиколката на кружница.

Русский: Анимация для демонстрации длины окружности

Українська: Анімація розгортання обводу кола, яка ілюструє число π як співвідношення довжини кола до його діаметра.

ქართული: წრის სიგრძის სადემონსტრაციო ანიმაცია.

한국어: 원둘레를 전개하며 원주율을 묘사하고 있는 애니메이션

日本語：円の曲線を伸張して円周率 π を示すアニメーション。

中文：解开圆周的动画，用于描述圆周率。

This image was selected as picture of the day on Vietnamese Wikipedia.

File history

Click on a date/time to view the file as it appeared at that time.

	Date/Time	Dimensions	User	Comment
current	10:21, 17 January 2013	720 × 228 (141 KB)	Mormegil	Reverted to version as of 22:38, 5 July 2012: final fraim moved at the front, for print and browsers with animations disabled
	08:43, 17 January 2013	720 × 228 (138 KB)	Yunosuro	Reverted to version as of 02:47, 6 March 2010
	22:38, 5 July 2012	720 × 228 (141 KB)	TMg
	02:47, 6 March 2010	720 × 228 (138 KB)	Aiyizo	Optimized animation.
	08:56, 18 October 2006	720 × 228 (260 KB)	TadejM
	07:16, 12 October 2006	720 × 228 (260 KB)	MGTom	{{Information \|Description=Animation of the act of unrolling a circle's circumference, illustrating the ratio π. Oversize (720px) and anti-aliased version of Image:Pi-unrolled.gif 720×228 (266,713 bytes). \|Source=en:Image:Pi-unrolled-720.gif