{"id":824,"date":"2015-06-09T22:14:34","date_gmt":"2015-06-09T20:14:34","guid":{"rendered":"http:\/\/eskerahn.dk\/?p=824"},"modified":"2018-10-17T18:21:28","modified_gmt":"2018-10-17T16:21:28","slug":"length-of-round-carpet-roll","status":"publish","type":"post","link":"https:\/\/eskerahn.dk\/?p=824","title":{"rendered":"Length of round (carpet) roll"},"content":{"rendered":"<p><a href=\"https:\/\/eskerahn.dk\/?p=824\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-825\" src=\"https:\/\/eskerahn.dk\/wp-content\/uploads\/2015\/06\/Carpet.jpg\" alt=\"Carpet\" width=\"816\" height=\"382\" \/><\/a><\/p>\n<p>For some reason, surprisingly few know this extremely simple formula, please share it.<\/p>\n<p>I have actually seen in a carpet store an employee unrolling the carpet to measure the length!!<\/p>\n<p><span style=\"color: #999999;\">[The formula is simple to prove too&#8230; r=k\u03c6, <strong>L=<\/strong>\u222br d\u03c6=\u222bk\u03c6 d\u03c6=\u00bdk(\u03c6<sub>2<\/sub>\u00b2-\u03c6<sub>1<\/sub>\u00b2)=\u00bdk(\u03c6<sub>2<\/sub>+\u03c6<sub>1<\/sub>)\u00d7(\u03c6<sub>2<\/sub>-\u03c6<sub>1<\/sub>)=\u00bd(r<sub>2<\/sub>+r<sub>1<\/sub>) \u00d7n2\u03c0=<strong>(r<sub>2<\/sub>+r<sub>1<\/sub>) \u00d7 n\u03c0<\/strong> , q.e.d.]<br \/>\n<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>For some reason, surprisingly few know this extremely simple formula, please share it. I have actually seen in a carpet store an employee unrolling the carpet to measure the length!! [The formula is simple to prove too&#8230; r=k\u03c6, L=\u222br d\u03c6=\u222bk\u03c6 d\u03c6=\u00bdk(\u03c62\u00b2-\u03c61\u00b2)=\u00bdk(\u03c62+\u03c61)\u00d7(\u03c62-\u03c61)=\u00bd(r2+r1) \u00d7n2\u03c0=(r2+r1) \u00d7 n\u03c0 , q.e.d.]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"aside","meta":{"footnotes":""},"categories":[13,1],"tags":[],"class_list":["post-824","post","type-post","status-publish","format-aside","hentry","category-math","category-uncategorized","post_format-post-format-aside"],"_links":{"self":[{"href":"https:\/\/eskerahn.dk\/index.php?rest_route=\/wp\/v2\/posts\/824","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/eskerahn.dk\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/eskerahn.dk\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/eskerahn.dk\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/eskerahn.dk\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=824"}],"version-history":[{"count":5,"href":"https:\/\/eskerahn.dk\/index.php?rest_route=\/wp\/v2\/posts\/824\/revisions"}],"predecessor-version":[{"id":1096,"href":"https:\/\/eskerahn.dk\/index.php?rest_route=\/wp\/v2\/posts\/824\/revisions\/1096"}],"wp:attachment":[{"href":"https:\/\/eskerahn.dk\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=824"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/eskerahn.dk\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=824"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/eskerahn.dk\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=824"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}