{"id":2574,"date":"2023-03-14T09:00:00","date_gmt":"2023-03-14T08:00:00","guid":{"rendered":"https:\/\/lacartebuissonniere.fr\/?p=2574"},"modified":"2023-03-02T09:57:51","modified_gmt":"2023-03-02T08:57:51","slug":"journee-mondiale-de-pi","status":"publish","type":"post","link":"https:\/\/lacartebuissonniere.fr\/index.php\/2023\/03\/14\/journee-mondiale-de-pi\/","title":{"rendered":"Journ\u00e9e mondiale de Pi"},"content":{"rendered":"\n<p>Rappelons-nous nos le\u00e7ons d\u2019antan&nbsp;: \u03c0 est le rapport constant de la circonf\u00e9rence d\u2019un cercle \u00e0 son diam\u00e8tre dans un plan euclidien. C\u2019est aussi le rapport de l\u2019aire d\u2019un disque au carr\u00e9 de son rayon.<\/p>\n\n\n\n<p>Ce qui se traduit par les formules suivantes&nbsp;:<\/p>\n\n\n\n<p>P\u00e9rim\u00e8tre P d\u2019un cercle de diam\u00e8tre D et de rayon R\u00a0: P = \u03c0D = 2\u03c0R<br>Aire A d\u2019un disque de rayon R\u00a0: A\u00a0= \u03c0R<sup>2<\/sup><\/p>\n\n\n\n<p>L\u2019usage de la lettre grecque \u03c0 est apparu au XVIIIe si\u00e8cle et a \u00e9t\u00e9 popularis\u00e9 par Euler.<br>Il correspond \u00e0 la premi\u00e8re lettre de \u03c0\u03b5\u03c1\u03af\u03bc\u03b5\u03c4\u03c1\u03bf\u03c2 (\u00ab p\u00e9rim\u00e8tre \u00bb en grec ancien).<\/p>\n\n\n\n<p>\u03a0 est un nombre <em>irrationnel<\/em> dont l\u2019\u00e9criture est infinie.<br>Sur ce tableau noir ne  sont inscrites que ses premi\u00e8res d\u00e9cimales :<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"856\" height=\"566\" src=\"https:\/\/lacartebuissonniere.fr\/wp-content\/uploads\/2023\/03\/A957C8F3-D022-4A10-976F-9BDA012CAC88_1_201_a.jpeg\" alt=\"\" class=\"wp-image-2576\" srcset=\"https:\/\/lacartebuissonniere.fr\/wp-content\/uploads\/2023\/03\/A957C8F3-D022-4A10-976F-9BDA012CAC88_1_201_a.jpeg 856w, https:\/\/lacartebuissonniere.fr\/wp-content\/uploads\/2023\/03\/A957C8F3-D022-4A10-976F-9BDA012CAC88_1_201_a-300x198.jpeg 300w, https:\/\/lacartebuissonniere.fr\/wp-content\/uploads\/2023\/03\/A957C8F3-D022-4A10-976F-9BDA012CAC88_1_201_a-768x508.jpeg 768w, https:\/\/lacartebuissonniere.fr\/wp-content\/uploads\/2023\/03\/A957C8F3-D022-4A10-976F-9BDA012CAC88_1_201_a-600x397.jpeg 600w\" sizes=\"auto, (max-width: 856px) 100vw, 856px\" \/><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<p>On l&rsquo;arrondit souvent \u00e0 deux d\u00e9cimales\u00a0: 3,14.<\/p>\n\n\n\n<p>C\u2019est pourquoi les Anglo-Saxons, qui placent le mois avant le jour, ont fait du 14 mars, le 3\/14, le Pi Day ou Jour de Pi.<\/p>\n\n\n\n<p>En 2015, on pouvait m\u00eame retrouver l\u2019approximation \u00e0 neuf d\u00e9cimales&nbsp;: 3\/14\/15 \u00e0 9:26:53&nbsp;!<\/p>\n\n\n\n<p>Comme <em>pie<\/em> signifie \u00ab\u00a0tarte\u00a0\u00bb en anglais et se prononce comme \u03c0, il est de tradition de confectionner des g\u00e2teaux pour l\u2019occasion\u00a0:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"940\" height=\"788\" src=\"https:\/\/lacartebuissonniere.fr\/wp-content\/uploads\/2023\/03\/6F63F3A0-58F5-414E-AFA5-39EB7CE00C61.png\" alt=\"\" class=\"wp-image-2577\" srcset=\"https:\/\/lacartebuissonniere.fr\/wp-content\/uploads\/2023\/03\/6F63F3A0-58F5-414E-AFA5-39EB7CE00C61.png 940w, https:\/\/lacartebuissonniere.fr\/wp-content\/uploads\/2023\/03\/6F63F3A0-58F5-414E-AFA5-39EB7CE00C61-300x251.png 300w, https:\/\/lacartebuissonniere.fr\/wp-content\/uploads\/2023\/03\/6F63F3A0-58F5-414E-AFA5-39EB7CE00C61-768x644.png 768w, https:\/\/lacartebuissonniere.fr\/wp-content\/uploads\/2023\/03\/6F63F3A0-58F5-414E-AFA5-39EB7CE00C61-600x503.png 600w\" sizes=\"auto, (max-width: 940px) 100vw, 940px\" \/><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<p>Tous les amoureux des math\u00e9matiques peuvent donc se souhaiter un \u00ab\u00a0Happy Pi Day\u00a0\u00bb\u00a0!<\/p>\n\n\n\n<p>Et envoyer des cartes buissonni\u00e8res d\u00e9di\u00e9es \u00e0 \u03c0\u00a0:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"755\" height=\"1024\" src=\"https:\/\/lacartebuissonniere.fr\/wp-content\/uploads\/2023\/03\/0AEEE457-59EE-4E61-BA66-05DE774CB993_1_105_c-755x1024.jpeg\" alt=\"\" class=\"wp-image-2579\" srcset=\"https:\/\/lacartebuissonniere.fr\/wp-content\/uploads\/2023\/03\/0AEEE457-59EE-4E61-BA66-05DE774CB993_1_105_c-755x1024.jpeg 755w, https:\/\/lacartebuissonniere.fr\/wp-content\/uploads\/2023\/03\/0AEEE457-59EE-4E61-BA66-05DE774CB993_1_105_c-221x300.jpeg 221w, https:\/\/lacartebuissonniere.fr\/wp-content\/uploads\/2023\/03\/0AEEE457-59EE-4E61-BA66-05DE774CB993_1_105_c-442x600.jpeg 442w, https:\/\/lacartebuissonniere.fr\/wp-content\/uploads\/2023\/03\/0AEEE457-59EE-4E61-BA66-05DE774CB993_1_105_c.jpeg 761w\" sizes=\"auto, (max-width: 755px) 100vw, 755px\" \/><\/figure>\n<\/div>\n\n\n<p><\/p>\n\n\n\n<p>Sources\u00a0:<\/p>\n\n\n\n<p><a href=\"https:\/\/www.piday.org\/\" target=\"_blank\" rel=\"noreferrer noopener\">Site \u00ab\u00a0officiel\u00a0\u00bb<\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/villemin.gerard.free.fr\/Wwwgvmm\/Geometri\/PiIntro.htm\" target=\"_blank\" rel=\"noreferrer noopener\">\u00ab\u00a0Constante \u03c0\u00a0\u00bb<\/a> &#8211; Riche site de vulgarisation<\/p>\n\n\n\n<p><a href=\"https:\/\/www.radiofrance.fr\/franceinter\/podcasts\/l-edito-carre\/pi-day-fetons-le-jour-d-un-nombre-fascinant-6844661\" target=\"_blank\" rel=\"noreferrer noopener\">\u00ab\u00a0\u00ab\u00a0Pi Day\u00a0\u00bb : f\u00eatons le jour d\u2019un nombre fascinant !\u00a0\u00bb<\/a> &#8211; Chronique environnement de France Inter<\/p>\n\n\n\n<p><a href=\"https:\/\/fr.wikihow.com\/c%C3%A9l%C3%A9brer-la-journ%C3%A9e-de-Pi\" target=\"_blank\" rel=\"noreferrer noopener\">\u00ab\u00a0Comment c\u00e9l\u00e9brer la journ\u00e9e de Pi\u00a0\u00bb<\/a> &#8211; Suggestions amusantes<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Rappelons-nous nos le\u00e7ons d\u2019antan&nbsp;: \u03c0 est le rapport constant de la circonf\u00e9rence d\u2019un cercle \u00e0 son diam\u00e8tre dans un plan euclidien. C\u2019est aussi le rapport de l\u2019aire d\u2019un disque au carr\u00e9 de son rayon. Ce qui se traduit par les formules suivantes&nbsp;: P\u00e9rim\u00e8tre P d\u2019un cercle de diam\u00e8tre D et de rayon R\u00a0: P = [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"two_page_speed":[],"footnotes":""},"categories":[13],"tags":[],"class_list":["post-2574","post","type-post","status-publish","format-standard","hentry","category-infos","entry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.4 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Journ\u00e9e mondiale de Pi - La carte buissonni\u00e8re<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/lacartebuissonniere.fr\/index.php\/2023\/03\/14\/journee-mondiale-de-pi\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Journ\u00e9e mondiale de Pi - La carte buissonni\u00e8re\" \/>\n<meta property=\"og:description\" content=\"Rappelons-nous nos le\u00e7ons d\u2019antan&nbsp;: \u03c0 est le rapport constant de la circonf\u00e9rence d\u2019un cercle \u00e0 son diam\u00e8tre dans un plan euclidien. C\u2019est aussi le rapport de l\u2019aire d\u2019un disque au carr\u00e9 de son rayon. Ce qui se traduit par les formules suivantes&nbsp;: P\u00e9rim\u00e8tre P d\u2019un cercle de diam\u00e8tre D et de rayon R\u00a0: P = [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/lacartebuissonniere.fr\/index.php\/2023\/03\/14\/journee-mondiale-de-pi\/\" \/>\n<meta property=\"og:site_name\" content=\"La carte buissonni\u00e8re\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/lacartebuissonniere\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-03-14T08:00:00+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/lacartebuissonniere.fr\/wp-content\/uploads\/2023\/03\/A957C8F3-D022-4A10-976F-9BDA012CAC88_1_201_a.jpeg\" \/>\n<meta name=\"author\" content=\"Carte buissonni\u00e8re\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u00c9crit par\" \/>\n\t<meta name=\"twitter:data1\" content=\"Carte buissonni\u00e8re\" \/>\n\t<meta name=\"twitter:label2\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/lacartebuissonniere.fr\/index.php\/2023\/03\/14\/journee-mondiale-de-pi\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/lacartebuissonniere.fr\/index.php\/2023\/03\/14\/journee-mondiale-de-pi\/\"},\"author\":{\"name\":\"Carte buissonni\u00e8re\",\"@id\":\"https:\/\/lacartebuissonniere.fr\/#\/schema\/person\/4e60af809837a2287e4f6d4daaf7abd4\"},\"headline\":\"Journ\u00e9e mondiale de Pi\",\"datePublished\":\"2023-03-14T08:00:00+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/lacartebuissonniere.fr\/index.php\/2023\/03\/14\/journee-mondiale-de-pi\/\"},\"wordCount\":260,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/lacartebuissonniere.fr\/#organization\"},\"image\":{\"@id\":\"https:\/\/lacartebuissonniere.fr\/index.php\/2023\/03\/14\/journee-mondiale-de-pi\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/lacartebuissonniere.fr\/wp-content\/uploads\/2023\/03\/A957C8F3-D022-4A10-976F-9BDA012CAC88_1_201_a.jpeg\",\"articleSection\":[\"INFOS\"],\"inLanguage\":\"fr-FR\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/lacartebuissonniere.fr\/index.php\/2023\/03\/14\/journee-mondiale-de-pi\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/lacartebuissonniere.fr\/index.php\/2023\/03\/14\/journee-mondiale-de-pi\/\",\"url\":\"https:\/\/lacartebuissonniere.fr\/index.php\/2023\/03\/14\/journee-mondiale-de-pi\/\",\"name\":\"Journ\u00e9e mondiale de Pi - 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