{"id":144,"date":"2020-04-17T08:49:17","date_gmt":"2020-04-17T06:49:17","guid":{"rendered":"http:\/\/mathe-lernen.net\/?p=144"},"modified":"2023-08-03T16:33:09","modified_gmt":"2023-08-03T14:33:09","slug":"der-kreis-linien-am-kreis","status":"publish","type":"post","link":"https:\/\/mathe-lernen.net\/?p=144","title":{"rendered":"Der Kreis &#8211; Linien am Kreis"},"content":{"rendered":"\n<p class=\"has-white-color has-primary-background-color has-text-color has-background\">Der Kreis ist eine Menge von Punkten, die den gleichen Abstand(Radius) vom Mittelpunkt haben.<\/p>\n\n\n<div class=\"h5p-iframe-wrapper\"><iframe id=\"h5p-iframe-33\" class=\"h5p-iframe\" data-content-id=\"33\" style=\"height:1px\" src=\"about:blank\" frameBorder=\"0\" scrolling=\"no\" title=\"Grundbegriffe am Kreis\"><\/iframe><\/div>\n\n\n\n<p class=\"has-white-color has-primary-background-color has-text-color has-background\">Es gilt: <br><br><strong>d = 2r<\/strong> &#8230; Der Durchmesser ist doppelt so lang, wie der Radius.<br><br>Die Kreislinie (k) nennt man auch Peripherie, ihre L\u00e4nge ist der Kreisumfang (u) .<\/p>\n\n\n\n<p class=\"has-background\" style=\"background-color:#d3f2ff\">Weitere Linien sind Passante, Sekante, Tangente und Sehne. Schau das Video und erg\u00e4nze in deinem Bild die fehlenden Linien.<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Begriffe beim Kreis, Passante, Tangente, Sekante, Sehne, Zentriwinkel, Peripheriewinkel\" width=\"860\" height=\"484\" src=\"https:\/\/www.youtube.com\/embed\/iMxr-vAOqOU?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<p class=\"has-white-color has-text-color has-background has-medium-font-size\" style=\"background-color:#4da300\">\u00dcbungen und Arbeitsmaterial:<\/p>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-1e547bf1-70e0-457a-927d-0914d3f6faef\" href=\"https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/11\/AB_000_Der-Kreis-und-seine-Lagebeziehungen.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">000_Der-Kreis-Lagebeziehungen<\/a><a href=\"https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/11\/AB_000_Der-Kreis-und-seine-Lagebeziehungen.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-1e547bf1-70e0-457a-927d-0914d3f6faef\">Herunterladen<\/a><\/div>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-34019299-987c-4f63-8ea3-77aaf97c8ab5\" href=\"https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/11\/000_Schafe-und-Kreise_2020-1.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">000_Schafe-und-Kreise_2020-1<\/a><a href=\"https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/11\/000_Schafe-und-Kreise_2020-1.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-34019299-987c-4f63-8ea3-77aaf97c8ab5\">Herunterladen<\/a><\/div>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-61a52f76-2e08-4ab2-b07d-1f96fdc0e6b9\" href=\"https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/11\/000_Schafe-und-Kreise_2020_lsg-1.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">000_Schafe-und-Kreise_2020_lsg-1<\/a><a href=\"https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/11\/000_Schafe-und-Kreise_2020_lsg-1.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-61a52f76-2e08-4ab2-b07d-1f96fdc0e6b9\">Herunterladen<\/a><\/div>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-43660026-8ed0-42e7-926c-d01731be2e9d\" href=\"https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/11\/AB_1_DERKREIS_linien_uebung.pdf\">AB_1_DERKREIS_linien_uebung<\/a><a href=\"https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/11\/AB_1_DERKREIS_linien_uebung.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-43660026-8ed0-42e7-926c-d01731be2e9d\">Herunterladen<\/a><\/div>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-a9d68d9a-33bf-4eb8-9a75-431f67b1a54c\" href=\"https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/04\/AB_1_kreislinien2020.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">AB_1_kreislinien2020<\/a><a href=\"https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/04\/AB_1_kreislinien2020.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-a9d68d9a-33bf-4eb8-9a75-431f67b1a54c\">Herunterladen<\/a><\/div>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-08c26a4c-3f28-4930-9c48-5470d3b015d1\" href=\"https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/11\/AB_1_DERKREIS_linien_uebung_loesungen.pdf\">AB_1_DERKREIS_linien_uebung_loesungen<\/a><a href=\"https:\/\/mathe-lernen.net\/wp-content\/uploads\/2020\/11\/AB_1_DERKREIS_linien_uebung_loesungen.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-08c26a4c-3f28-4930-9c48-5470d3b015d1\">Herunterladen<\/a><\/div>\n\n\n\n<p class=\"has-white-color has-text-color has-background has-medium-font-size\" style=\"background-color:#881fff\">Interaktive \u00dcbung:<\/p>\n\n\n\n<div id=\"liveworksheet70222\" style=\"width:100%\">\n    <span id=\"lwslink70222\"><a href=\"https:\/\/www.liveworksheets.com\/w\/de\/mathematik\/70222\">Kreislinien<\/a>, an interactive worksheet by <a href=\"https:\/\/www.liveworksheets.com\/u\/grescho\">Jens Grescho<\/a>\n    <br><a href=\"https:\/\/www.liveworksheets.com\">live<b>worksheets.com<\/b><\/a><\/span>\n    <\/div>\n    <script src=\"https:\/\/www.liveworksheets.com\/embed\/embed.js?v=1\"><\/script>\n    <script>\n    loadliveworksheet(70222,'pmrz',1633,'www','new');\n    <\/script>\n<div class=\"pvc_clear\"><\/div><p id=\"pvc_stats_144\" class=\"pvc_stats all  \" data-element-id=\"144\" style=\"\"><i class=\"pvc-stats-icon small\" aria-hidden=\"true\"><svg aria-hidden=\"true\" focusable=\"false\" data-prefix=\"far\" data-icon=\"chart-bar\" role=\"img\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 512 512\" class=\"svg-inline--fa fa-chart-bar fa-w-16 fa-2x\"><path fill=\"currentColor\" d=\"M396.8 352h22.4c6.4 0 12.8-6.4 12.8-12.8V108.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v230.4c0 6.4 6.4 12.8 12.8 12.8zm-192 0h22.4c6.4 0 12.8-6.4 12.8-12.8V140.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v198.4c0 6.4 6.4 12.8 12.8 12.8zm96 0h22.4c6.4 0 12.8-6.4 12.8-12.8V204.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v134.4c0 6.4 6.4 12.8 12.8 12.8zM496 400H48V80c0-8.84-7.16-16-16-16H16C7.16 64 0 71.16 0 80v336c0 17.67 14.33 32 32 32h464c8.84 0 16-7.16 16-16v-16c0-8.84-7.16-16-16-16zm-387.2-48h22.4c6.4 0 12.8-6.4 12.8-12.8v-70.4c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v70.4c0 6.4 6.4 12.8 12.8 12.8z\" class=\"\"><\/path><\/svg><\/i> <img loading=\"lazy\" decoding=\"async\" width=\"16\" height=\"16\" alt=\"Loading\" src=\"https:\/\/mathe-lernen.net\/wp-content\/plugins\/page-views-count\/ajax-loader-2x.gif\" border=0 \/><\/p><div class=\"pvc_clear\"><\/div> ","protected":false},"excerpt":{"rendered":"<p>Der Kreis ist eine Menge von Punkten, die den gleichen Abstand(Radius) vom Mittelpunkt haben. Es gilt: d = 2r &#8230; Der Durchmesser ist doppelt so lang, wie der Radius. Die Kreislinie (k) nennt man auch Peripherie, ihre L\u00e4nge ist der Kreisumfang (u) . Weitere Linien sind Passante, Sekante, Tangente und Sehne. Schau das Video und erg\u00e4nze in deinem Bild die<\/p>\n<div class=\"pvc_clear\"><\/div>\n<p id=\"pvc_stats_144\" class=\"pvc_stats all  \" data-element-id=\"144\" style=\"\"><i class=\"pvc-stats-icon small\" aria-hidden=\"true\"><svg aria-hidden=\"true\" focusable=\"false\" data-prefix=\"far\" data-icon=\"chart-bar\" role=\"img\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 512 512\" class=\"svg-inline--fa fa-chart-bar fa-w-16 fa-2x\"><path fill=\"currentColor\" d=\"M396.8 352h22.4c6.4 0 12.8-6.4 12.8-12.8V108.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v230.4c0 6.4 6.4 12.8 12.8 12.8zm-192 0h22.4c6.4 0 12.8-6.4 12.8-12.8V140.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v198.4c0 6.4 6.4 12.8 12.8 12.8zm96 0h22.4c6.4 0 12.8-6.4 12.8-12.8V204.8c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v134.4c0 6.4 6.4 12.8 12.8 12.8zM496 400H48V80c0-8.84-7.16-16-16-16H16C7.16 64 0 71.16 0 80v336c0 17.67 14.33 32 32 32h464c8.84 0 16-7.16 16-16v-16c0-8.84-7.16-16-16-16zm-387.2-48h22.4c6.4 0 12.8-6.4 12.8-12.8v-70.4c0-6.4-6.4-12.8-12.8-12.8h-22.4c-6.4 0-12.8 6.4-12.8 12.8v70.4c0 6.4 6.4 12.8 12.8 12.8z\" class=\"\"><\/path><\/svg><\/i> <img loading=\"lazy\" decoding=\"async\" width=\"16\" height=\"16\" alt=\"Loading\" src=\"https:\/\/mathe-lernen.net\/wp-content\/plugins\/page-views-count\/ajax-loader-2x.gif\" border=0 \/><\/p>\n<div class=\"pvc_clear\"><\/div>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[984,148,47],"tags":[224,225,74,75,76,77,81,223],"class_list":["post-144","post","type-post","status-publish","format-standard","hentry","category-kreis","category-liveworksheet","category-kreis-klasse-8","tag-zentriwinkel","tag-kreislinie","tag-peripheriewinkel","tag-tangente","tag-passante","tag-sekante","tag-kreis","tag-peripherie"],"_links":{"self":[{"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/posts\/144","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=144"}],"version-history":[{"count":0,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=\/wp\/v2\/posts\/144\/revisions"}],"wp:attachment":[{"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=144"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=144"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathe-lernen.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=144"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}