{"id":1330,"date":"2024-03-03T19:58:13","date_gmt":"2024-03-03T19:58:13","guid":{"rendered":"https:\/\/domath.surju.ee\/?page_id=1330"},"modified":"2024-12-23T19:52:25","modified_gmt":"2024-12-23T19:52:25","slug":"circle","status":"publish","type":"page","link":"https:\/\/domath.surju.ee\/et\/ring-ringjoon-umbermoot\/","title":{"rendered":"Ring, ringjoon, \u00fcmberm\u00f5\u00f5t, pindala"},"content":{"rendered":"<h1 style=\"text-align: center;\"><span style=\"color: #008000;\"><strong>Ring, ringjoon, \u00fcmberm\u00f5\u00f5t, pindala<\/strong><\/span><\/h1>\r\n<p><span style=\"color: #ff0000;\"><strong>Ring<\/strong><\/span> on tasapinnaline kujund, mida \u00fcmbritseb ringjoon.&nbsp;<br \/>\r\n<strong>Ringi<\/strong> moodustab ringjoone sees olev<strong> tasandi osa<\/strong> koos <strong>ringjoonega.<\/strong><\/p>\r\n<p><span style=\"color: #ff0000;\"><strong>Ringjoon<\/strong> <span style=\"color: #000000;\">on kinnine joon, mille <\/span><\/span><span style=\"color: #000000;\">k<\/span>\u00f5ik punktid asuvad \u00fchel ja samal tasandil ning on <strong>ringjoone keskpunktist v\u00f5rdsel kaugusel.<\/strong><\/p>\r\n<p><span style=\"color: #333399;\"><strong><span style=\"color: #ff0000;\">Ringjoone pikkus<\/span><\/strong><\/span> (C) on kindel arv korda pikem selle diameetrist (seda arvu t\u00e4histatakse kreeka t\u00e4hega \u03c0 (pii)).<\/p>\r\n<h5 style=\"text-align: center;\"><span style=\"background-color: #333399; color: #99ccff;\"><strong>M\u00f5isted<\/strong><\/span><\/h5>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-3049 alignleft\" src=\"https:\/\/domath.surju.ee\/wp-content\/uploads\/2024\/07\/CIRCLE_LINES-en.svg_-296x300.png\" alt=\"\" width=\"296\" height=\"300\" srcset=\"https:\/\/domath.surju.ee\/wp-content\/uploads\/2024\/07\/CIRCLE_LINES-en.svg_-296x300.png 296w, https:\/\/domath.surju.ee\/wp-content\/uploads\/2024\/07\/CIRCLE_LINES-en.svg_-24x24.png 24w, https:\/\/domath.surju.ee\/wp-content\/uploads\/2024\/07\/CIRCLE_LINES-en.svg_-36x36.png 36w, https:\/\/domath.surju.ee\/wp-content\/uploads\/2024\/07\/CIRCLE_LINES-en.svg_-48x48.png 48w, https:\/\/domath.surju.ee\/wp-content\/uploads\/2024\/07\/CIRCLE_LINES-en.svg_.png 330w\" sizes=\"auto, (max-width: 296px) 100vw, 296px\" \/> <strong><span style=\"color: #333399;\">Keskpunkt:<\/span><\/strong> ringjoone k\u00f5ikidest punktidest v\u00f5rdsel kaugusel olev punkt, mis asub ringiga (ja ringjoonega) samal tasandil.<\/p>\r\n<p><span style=\"color: #333399;\"><strong>Ringi \u00fcmberm\u00f5\u00f5t: <\/strong><\/span>ringjoone pikkus. Seda t\u00e4histatakse t\u00e4hega C.<br \/>\r\n&nbsp;<span style=\"color: #800080; background-color: #ffcc99;\"> C<strong>=2\u03c0r = \u03c0d&nbsp;<\/strong><\/span><\/p>\r\n<p><span style=\"color: #800080;\"><strong>Diameeter: <\/strong><\/span>l\u00f5ik, mis l\u00e4bib ringjoone keskpunkti ja \u00fchendab ringjoone kahte punkti. Seda t\u00e4histatakse t\u00e4hega d.&nbsp;<br \/>\r\n&nbsp;<span style=\"color: #800080; background-color: #ffcc99;\"> <strong>d=2r<\/strong><\/span><\/p>\r\n<p><strong><span style=\"color: #333399;\"><span style=\"color: #008080;\">Raadius<\/span>:<\/span> <\/strong>ringjoone keskpunkti ja ringjoone mistahes punktiga \u00fchendatud l\u00f5ik. Seda t\u00e4histatakse t\u00e4hega r.<br \/>\r\n&nbsp;&nbsp;<span style=\"background-color: #ffcc99;\"><strong><span style=\"color: #339966;\"><span style=\"background-color: #ffcc99;\">r =<\/span> d : 2&nbsp;<\/span><\/strong><\/span><\/p>\r\n<p><span style=\"font-size: revert; color: var(--bs-body-color); font-family: var(--bs-body-font-family); font-weight: var(--bs-body-font-weight); text-align: var(--bs-body-text-align);\"><span style=\"color: #333399;\"><strong>K\u00f5\u00f5l (Chord):<\/strong> <span style=\"color: #000000;\">l\u00f5ik, mis \u00fchendab ringi keskpunkti ringjoonel asuva punktiga (k\u00f5ige pikem k\u00f5\u00f5l on diameeter)<\/span><\/span><\/span><\/p>\r\n<p><strong><span style=\"color: #333399;\"><span style=\"color: #339966;\">L\u00f5ikaja (Secant)<\/span>:<\/span><\/strong>&nbsp; sirge, millel on ringjoonega kaks \u00fchist punkti.<\/p>\r\n<p><span style=\"color: #993300;\"><strong>Puutuja (Tangent):<\/strong><\/span>&nbsp; sirge, millel on ringjoonega ainult \u00fcks \u00fchine punkt (puudutab selles punktis ringjoont). Seda \u00fchist punkti nimetatakse puutepunktiks.&nbsp;<br \/>\r\n<strong>Ringjoone puutuja<\/strong> on <strong>risti<\/strong> puutepunkti t\u00f5mmatud raadiusega.<br \/>\r\n<br \/>\r\n<br \/>\r\n<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-3050 alignleft\" src=\"https:\/\/domath.surju.ee\/wp-content\/uploads\/2024\/07\/Circle_slices-en.svg_-300x300.png\" alt=\"\" width=\"281\" height=\"281\" srcset=\"https:\/\/domath.surju.ee\/wp-content\/uploads\/2024\/07\/Circle_slices-en.svg_-300x300.png 300w, https:\/\/domath.surju.ee\/wp-content\/uploads\/2024\/07\/Circle_slices-en.svg_-150x150.png 150w, https:\/\/domath.surju.ee\/wp-content\/uploads\/2024\/07\/Circle_slices-en.svg_-24x24.png 24w, https:\/\/domath.surju.ee\/wp-content\/uploads\/2024\/07\/Circle_slices-en.svg_-36x36.png 36w, https:\/\/domath.surju.ee\/wp-content\/uploads\/2024\/07\/Circle_slices-en.svg_-48x48.png 48w, https:\/\/domath.surju.ee\/wp-content\/uploads\/2024\/07\/Circle_slices-en.svg_.png 330w\" sizes=\"auto, (max-width: 281px) 100vw, 281px\" \/><\/p>\r\n<p><span style=\"color: #00ff00;\"><strong>Sektor<\/strong><\/span><span style=\"color: #00ff00;\"><strong>:<\/strong><\/span> kahe raadiuse vahele j\u00e4\u00e4vat osa ringist<\/p>\r\n<p><span style=\"color: #0000ff;\"><strong>Segment<\/strong><\/span>:&nbsp; piirkond, mis on piiratud k\u00f5\u00f5lu ja \u00fche k\u00f5\u00f5lu otspunkte \u00fchendava kaarega.<\/p>\r\n<p><span style=\"color: #ff6600;\"><strong>Kaar (Arc) :<\/strong> <\/span>&nbsp;ringjoone osa tema kahe punkti vahel.<\/p>\r\n<p><a href=\"https:\/\/en.wikipedia.org\/wiki\/Circle\">https:\/\/en.wikipedia.org\/wiki\/Circle<\/a><br \/>\r\n<br \/>\r\n<strong><br \/>\r\n<br \/>\r\n<br \/>\r\n<br \/>\r\n<br \/>\r\n<br \/>\r\n<br \/>\r\nRingi pindala<\/strong> on v\u00f5rdne arvu \u03c0 ja raadiuse ruudu korrutisega.<br \/>\r\n<span style=\"color: #ff0000;\"><b><i>S<\/i>&nbsp;=<\/b>&nbsp;\u03c0<i><b>r<\/b><\/i><\/span><b><sup><span style=\"color: #ff0000;\">2<\/span><br \/>\r\n<\/sup><\/b><br \/>\r\n<strong><span style=\"color: #0000ff;\">Ringi pindala ja \u00fcmberm\u00f5\u00f5t. Ringjoone pikkus.&nbsp;<\/span><\/strong><\/p>\r\n <iframe loading=\"lazy\" style=\"border: 0px;\" title=\"Ringi pindala\" src=\"https:\/\/www.geogebra.org\/material\/iframe\/id\/zrdzz9ws\/width\/1000\/height\/485\/border\/888888\/sfsb\/true\/smb\/false\/stb\/false\/stbh\/false\/ai\/false\/asb\/false\/sri\/false\/rc\/false\/ld\/false\/sdz\/false\/ctl\/false\" width=\"600px\" height=\"285px\" scrolling=\"no\"> <\/iframe> \r\n <iframe loading=\"lazy\" style=\"border: 0px;\" title=\"Ring ja joonlaud\" src=\"https:\/\/www.geogebra.org\/material\/iframe\/id\/nr4qcvmk\/width\/1200\/height\/450\/border\/888888\/sfsb\/true\/smb\/false\/stb\/false\/stbh\/false\/ai\/false\/asb\/false\/sri\/false\/rc\/false\/ld\/false\/sdz\/false\/ctl\/false\" width=\"650px\" height=\"250px\" scrolling=\"no\"> <\/iframe> \r\n <iframe loading=\"lazy\" style=\"border: 0px;\" title=\"Ringjoon.  Ringi \u00fcmberm\u00f5\u00f5t\" src=\"https:\/\/www.geogebra.org\/material\/iframe\/id\/xq3vfpqg\/width\/1200\/height\/450\/border\/888888\/sfsb\/true\/smb\/false\/stb\/false\/stbh\/false\/ai\/false\/asb\/false\/sri\/false\/rc\/false\/ld\/false\/sdz\/false\/ctl\/false\" width=\"650px\" height=\"250px\" scrolling=\"no\"> <\/iframe> ","protected":false},"excerpt":{"rendered":"<p>Ring, ringjoon, \u00fcmberm\u00f5\u00f5t, pindala Ring on tasapinnaline kujund, mida \u00fcmbritseb ringjoon.&nbsp; Ringi moodustab ringjoone sees olev tasandi osa koos ringjoonega. Ringjoon on kinnine joon, mille k\u00f5ik punktid asuvad \u00fchel ja samal tasandil ning on ringjoone keskpunktist v\u00f5rdsel kaugusel. Ringjoone pikkus (C) on kindel arv korda pikem selle diameetrist (seda arvu t\u00e4histatakse kreeka t\u00e4hega \u03c0 (pii)). [&#8230;]<\/p>\n<p><a class=\"btn btn-secondary understrap-read-more-link\" href=\"https:\/\/domath.surju.ee\/et\/ring-ringjoon-umbermoot\/\">Read More&#8230;<span class=\"screen-reader-text\"> from Ring, ringjoon, \u00fcmberm\u00f5\u00f5t, pindala<\/span><\/a><\/p>\n","protected":false},"author":12,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_eb_attr":"","_uag_custom_page_level_css":"","footnotes":""},"categories":[],"tags":[66,116,73,136],"class_list":["post-1330","page","type-page","status-publish","hentry","tag-english-c","tag-estonian-r","tag-greek-kappa","tag-spanish-c"],"uagb_featured_image_src":{"full":false,"thumbnail":false,"medium":false,"medium_large":false,"large":false,"1536x1536":false,"2048x2048":false,"menu-24x24":false,"menu-36x36":false,"menu-48x48":false},"uagb_author_info":{"display_name":"Ave Kartau","author_link":"https:\/\/domath.surju.ee\/et\/author\/ave\/"},"uagb_comment_info":0,"uagb_excerpt":"Ring, ringjoon, \u00fcmberm\u00f5\u00f5t, pindala Ring on tasapinnaline kujund, mida \u00fcmbritseb ringjoon.&nbsp; Ringi moodustab ringjoone sees olev tasandi osa koos ringjoonega. Ringjoon on kinnine joon, mille k\u00f5ik punktid asuvad \u00fchel ja samal tasandil ning on ringjoone keskpunktist v\u00f5rdsel kaugusel. Ringjoone pikkus (C) on kindel arv korda pikem selle diameetrist (seda arvu t\u00e4histatakse kreeka t\u00e4hega \u03c0 (pii)).&hellip;","_links":{"self":[{"href":"https:\/\/domath.surju.ee\/et\/wp-json\/wp\/v2\/pages\/1330","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/domath.surju.ee\/et\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/domath.surju.ee\/et\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/domath.surju.ee\/et\/wp-json\/wp\/v2\/users\/12"}],"replies":[{"embeddable":true,"href":"https:\/\/domath.surju.ee\/et\/wp-json\/wp\/v2\/comments?post=1330"}],"version-history":[{"count":20,"href":"https:\/\/domath.surju.ee\/et\/wp-json\/wp\/v2\/pages\/1330\/revisions"}],"predecessor-version":[{"id":4668,"href":"https:\/\/domath.surju.ee\/et\/wp-json\/wp\/v2\/pages\/1330\/revisions\/4668"}],"wp:attachment":[{"href":"https:\/\/domath.surju.ee\/et\/wp-json\/wp\/v2\/media?parent=1330"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/domath.surju.ee\/et\/wp-json\/wp\/v2\/categories?post=1330"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/domath.surju.ee\/et\/wp-json\/wp\/v2\/tags?post=1330"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}