{"id":409,"date":"2024-11-24T09:49:07","date_gmt":"2024-11-24T09:49:07","guid":{"rendered":"https:\/\/matematika.850football.com\/?page_id=409"},"modified":"2025-09-22T14:10:17","modified_gmt":"2025-09-22T14:10:17","slug":"%d0%bb%d0%b8%d1%86%d0%b5-%d0%bd%d0%b0-%d0%ba%d1%80%d1%8a%d0%b3","status":"publish","type":"page","link":"https:\/\/matematika.850football.com\/?page_id=409","title":{"rendered":"\u041b\u0438\u0446\u0435 \u043d\u0430 \u043a\u0440\u044a\u0433"},"content":{"rendered":"\n<iframe scrolling=\"no\" title=\"\u043b\u0438\u0446\u0435 \u043d\u0430 \u043a\u0440\u044a\u0433\" src=\"https:\/\/www.geogebra.org\/material\/iframe\/id\/hausstra\/width\/1920\/height\/879\/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=\"1920px\" height=\"879px\" style=\"border:0px;\"> <\/iframe>\n\n\n\n<p class=\"wp-block-paragraph\">\u041e\u0442 <a href=\"https:\/\/matematika.850football.com\/?page_id=960\" data-type=\"page\" data-id=\"960\" target=\"_blank\" rel=\"noreferrer noopener\">\u043a\u0440\u044a\u0433<\/a> \u0441\u0442\u0430\u0432\u0430 \u0442\u0440\u0438\u044a\u0433\u044a\u043b\u043d\u0438\u043a! \u0410 \u043b\u0438\u0446\u0435\u0442\u043e \u0435:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/matematika.850football.com\/wp-content\/uploads\/2024\/11\/image-4.png\" alt=\"\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" style=\"font-size:22px\">\u041b\u0438\u0446\u0435 = \u043e\u0441\u043d\u043e\u0432\u0430 \u00d7 \u0432\u0438\u0441\u043e\u0447\u0438\u043d\u0430 \/ 2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" style=\"font-size:22px\">\u041b\u0438\u0446\u0435 = <em>2&nbsp;<strong>\u03c0<\/strong>&nbsp;r \u00d7 r \/ 2<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\" style=\"font-size:22px\">\u041b\u0438\u0446\u0435 =&nbsp;<em><strong>\u03c0<\/strong>&nbsp;r&nbsp;<sup>2<\/sup><\/em><\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<figure class=\"wp-block-image size-large\"><img fetchpriority=\"high\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/matematika.850football.com\/wp-content\/uploads\/2025\/01\/\u043b\u0438\u0446\u0435-\u043d\u0430-\u043a\u0440\u044a\u0433-\u0440\u0430\u0437\u0432\u0438\u0432\u043a\u0430-2-1024x1024.png\" alt=\"\" class=\"wp-image-1218\" srcset=\"https:\/\/matematika.850football.com\/wp-content\/uploads\/2025\/01\/\u043b\u0438\u0446\u0435-\u043d\u0430-\u043a\u0440\u044a\u0433-\u0440\u0430\u0437\u0432\u0438\u0432\u043a\u0430-2-1024x1024.png 1024w, https:\/\/matematika.850football.com\/wp-content\/uploads\/2025\/01\/\u043b\u0438\u0446\u0435-\u043d\u0430-\u043a\u0440\u044a\u0433-\u0440\u0430\u0437\u0432\u0438\u0432\u043a\u0430-2-300x300.png 300w, https:\/\/matematika.850football.com\/wp-content\/uploads\/2025\/01\/\u043b\u0438\u0446\u0435-\u043d\u0430-\u043a\u0440\u044a\u0433-\u0440\u0430\u0437\u0432\u0438\u0432\u043a\u0430-2-150x150.png 150w, https:\/\/matematika.850football.com\/wp-content\/uploads\/2025\/01\/\u043b\u0438\u0446\u0435-\u043d\u0430-\u043a\u0440\u044a\u0433-\u0440\u0430\u0437\u0432\u0438\u0432\u043a\u0430-2-768x768.png 768w, https:\/\/matematika.850football.com\/wp-content\/uploads\/2025\/01\/\u043b\u0438\u0446\u0435-\u043d\u0430-\u043a\u0440\u044a\u0433-\u0440\u0430\u0437\u0432\u0438\u0432\u043a\u0430-2-1536x1536.png 1536w, https:\/\/matematika.850football.com\/wp-content\/uploads\/2025\/01\/\u043b\u0438\u0446\u0435-\u043d\u0430-\u043a\u0440\u044a\u0433-\u0440\u0430\u0437\u0432\u0438\u0432\u043a\u0430-2.png 1987w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<p class=\"wp-block-paragraph\">\u0415\u0442\u043e \u043d\u0430\u0447\u0438\u043d \u0437\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u043d\u0435 \u043b\u0438\u0446\u0435\u0442\u043e \u043d\u0430 \u043a\u0440\u044a\u0433. \u0420\u0430\u0437\u0434\u0435\u043b\u044f\u043c\u0435 \u043a\u0440\u044a\u0433\u0430 \u043f\u043e \u0440\u0430\u0434\u0438\u0443\u0441\u0438\u0442\u0435 \u043d\u0430 \u0440\u0430\u0432\u043d\u0438 \u0441\u0435\u043a\u0442\u043e\u0440\u0438 \u0441 \u043c\u043d\u043e\u0433\u043e \u043c\u0430\u043b\u044a\u043a \u0446\u0435\u043d\u0442\u0440\u0430\u043b\u0435\u043d \u044a\u0433\u044a\u043b \u0438 \u0441\u043b\u0435\u0434 \u0442\u043e\u0432\u0430 \u0433\u0438 \u043f\u043e\u0434\u0440\u0435\u0436\u0434\u0430\u043c\u0435 \u043f\u043b\u044a\u0442\u043d\u043e \u0435\u0434\u0438\u043d \u0434\u043e \u0434\u0440\u0443\u0433, \u0442\u0430\u043a\u0430 \u0447\u0435 \u0434\u0430 \u043e\u0431\u0440\u0430\u0437\u0443\u0432\u0430\u0442 \u043f\u0440\u0430\u0432\u043e\u044a\u0433\u044a\u043b\u043d\u0438\u043a \u0441 \u0438\u0437\u043c\u0435\u0440\u0435\u043d\u0438\u044f <em><strong>\u03c0<\/strong>.r<\/em> \u0438 <em>r<\/em>. \u041f\u043e\u043d\u0435\u0436\u0435 \u0435\u0434\u043d\u0430\u0442\u0430 \u0441\u0442\u0440\u0430\u043d\u0430 \u043d\u0430 \u043f\u0440\u0430\u0432\u043e\u044a\u0433\u044a\u043b\u043d\u0438\u043a\u0430 \u0435 \u0441\u044a\u0441\u0442\u0430\u0432\u0435\u043d\u0430 \u043e\u0442 \u043f\u043e\u043b\u043e\u0432\u0438\u043d\u0430\u0442\u0430 \u0441\u0435\u043a\u0442\u043e\u0440\u0438, \u0442\u043e \u043d\u0435\u0439\u043d\u0430\u0442\u0430 \u0434\u044a\u043b\u0436\u0438\u043d\u0430 \u0435 \u043f\u043e\u043b\u043e\u0432\u0438\u043d\u0430\u0442\u0430 \u043e\u0442 \u0434\u044a\u043b\u0436\u0438\u043d\u0430\u0442\u0430 \u043d\u0430 \u043e\u043a\u0440\u044a\u0436\u043d\u043e\u0441\u0442\u0442\u0430 \u043d\u0430 \u043a\u0440\u044a\u0433\u0430.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" width=\"894\" height=\"189\" src=\"https:\/\/matematika.850football.com\/wp-content\/uploads\/2025\/01\/image-2.png\" alt=\"\" class=\"wp-image-976\" style=\"width:214px;height:auto\" srcset=\"https:\/\/matematika.850football.com\/wp-content\/uploads\/2025\/01\/image-2.png 894w, https:\/\/matematika.850football.com\/wp-content\/uploads\/2025\/01\/image-2-300x63.png 300w, https:\/\/matematika.850football.com\/wp-content\/uploads\/2025\/01\/image-2-768x162.png 768w\" sizes=\"(max-width: 894px) 100vw, 894px\" \/><\/figure>\n<\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\">\u0417\u0430\u043a\u043b\u044e\u0447\u0435\u043d\u0438\u0435<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u041b\u0418\u0426\u0415 \u041d\u0410 \u041a\u0420\u042a\u0413:    <em>S <\/em>=&nbsp;<em>\u03c0&nbsp;r&nbsp;<sup>2<\/sup><\/em><\/strong><\/p>\n\n\n\n\n\n<p class=\"has-theme-palette-8-background-color has-background wp-block-paragraph\"><em><strong>\u0417\u0410\u0414\u0410\u0427\u0410 1.:<\/strong><\/em> \u041d\u0430 \u043a\u0430\u043a\u0432\u0430 \u043f\u043b\u043e\u0449 \u043f\u043e\u043b\u0438\u0432\u043d\u0430 \u043c\u0430\u0448\u0438\u043d\u0430 \u0432\u043f\u0440\u044a\u0441\u043a\u0432\u0430 \u0432\u043e\u0434\u0430, \u0430\u043a\u043e \u0432\u043e\u0434\u0430\u0442\u0430 \u0434\u043e\u0441\u0442\u0438\u0433\u0430 \u0434\u043e 4 \u043c \u043e\u0442 \u043c\u044f\u0441\u0442\u043e\u0442\u043e, \u043a\u044a\u0434\u0435\u0442\u043e \u0435 \u043f\u043e\u0441\u0442\u0430\u0432\u0435\u043d\u0430 \u043c\u0430\u0448\u0438\u043d\u0430\u0442\u0430?<\/p>\n\n\n\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>\u041e\u0422\u0413\u041e\u0412\u041e\u0420<\/summary>\n<p class=\"wp-block-paragraph\"><em>S <\/em>= <em><strong>\u03c0<\/strong>&nbsp;r&nbsp;<sup>2<\/sup><\/em><br>S = <em><strong>\u03c0<\/strong>&nbsp;4&nbsp;<sup>2<\/sup><\/em> =<em>16<strong>\u03c0<\/strong>&nbsp;<\/em>\u043c<sup>2<\/sup><\/p>\n<\/details>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"has-theme-palette-8-background-color has-background wp-block-paragraph\"><em><strong>\u0417\u0410\u0414\u0410\u0427\u0410 2.:<\/strong> <\/em>\u041d\u0430\u043c\u0435\u0440\u0435\u0442\u0435 \u043b\u0438\u0446\u0435\u0442\u043e \u043d\u0430 \u043e\u0446\u0432\u0435\u0442\u0435\u043d\u0430\u0442\u0430 \u043f\u043b\u043e\u0449.<br><img decoding=\"async\" width=\"400\" height=\"400\" class=\"wp-image-908\" style=\"width: 400px;\" src=\"https:\/\/matematika.850football.com\/wp-content\/uploads\/2025\/01\/\u0437\u0430\u0434\u0430\u0447\u0430-\u043e\u043a\u0440\u044a\u0436\u043d\u043e\u0441\u0442-2-1.png\" alt=\"\" srcset=\"https:\/\/matematika.850football.com\/wp-content\/uploads\/2025\/01\/\u0437\u0430\u0434\u0430\u0447\u0430-\u043e\u043a\u0440\u044a\u0436\u043d\u043e\u0441\u0442-2-1.png 1391w, https:\/\/matematika.850football.com\/wp-content\/uploads\/2025\/01\/\u0437\u0430\u0434\u0430\u0447\u0430-\u043e\u043a\u0440\u044a\u0436\u043d\u043e\u0441\u0442-2-1-300x300.png 300w, https:\/\/matematika.850football.com\/wp-content\/uploads\/2025\/01\/\u0437\u0430\u0434\u0430\u0447\u0430-\u043e\u043a\u0440\u044a\u0436\u043d\u043e\u0441\u0442-2-1-1024x1024.png 1024w, https:\/\/matematika.850football.com\/wp-content\/uploads\/2025\/01\/\u0437\u0430\u0434\u0430\u0447\u0430-\u043e\u043a\u0440\u044a\u0436\u043d\u043e\u0441\u0442-2-1-150x150.png 150w, https:\/\/matematika.850football.com\/wp-content\/uploads\/2025\/01\/\u0437\u0430\u0434\u0430\u0447\u0430-\u043e\u043a\u0440\u044a\u0436\u043d\u043e\u0441\u0442-2-1-768x767.png 768w\" sizes=\"(max-width: 400px) 100vw, 400px\" \/><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><a href=\"https:\/\/www.smartest.bg\/elg2607\/lice-na-krag-194148\" target=\"_blank\" rel=\" noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"451\" height=\"134\" src=\"https:\/\/matematika.850football.com\/wp-content\/uploads\/2025\/01\/\u0442\u0435\u0441\u0442-3.png\" alt=\"\" class=\"wp-image-1058\" style=\"width:211px;height:auto\" srcset=\"https:\/\/matematika.850football.com\/wp-content\/uploads\/2025\/01\/\u0442\u0435\u0441\u0442-3.png 451w, https:\/\/matematika.850football.com\/wp-content\/uploads\/2025\/01\/\u0442\u0435\u0441\u0442-3-300x89.png 300w\" sizes=\"(max-width: 451px) 100vw, 451px\" \/><\/a><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><a href=\"https:\/\/www.smartest.bg\/elg2607\/krag-2-lice-195515\" target=\"_blank\" rel=\" noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"451\" height=\"134\" src=\"https:\/\/matematika.850football.com\/wp-content\/uploads\/2025\/01\/\u0442\u0435\u0441\u04422-2.png\" alt=\"\" class=\"wp-image-1215\" style=\"width:209px;height:auto\" srcset=\"https:\/\/matematika.850football.com\/wp-content\/uploads\/2025\/01\/\u0442\u0435\u0441\u04422-2.png 451w, https:\/\/matematika.850football.com\/wp-content\/uploads\/2025\/01\/\u0442\u0435\u0441\u04422-2-300x89.png 300w\" sizes=\"(max-width: 451px) 100vw, 451px\" \/><\/a><\/figure>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>\u041e\u0442 \u043a\u0440\u044a\u0433 \u0441\u0442\u0430\u0432\u0430 \u0442\u0440\u0438\u044a\u0433\u044a\u043b\u043d\u0438\u043a! \u0410 \u043b\u0438\u0446\u0435\u0442\u043e \u0435: \u041b\u0438\u0446\u0435 = \u043e\u0441\u043d\u043e\u0432\u0430 \u00d7 \u0432\u0438\u0441\u043e\u0447\u0438\u043d\u0430 \/ 2 \u041b\u0438\u0446\u0435 = 2&nbsp;\u03c0&nbsp;r \u00d7 r \/ 2 \u041b\u0438\u0446\u0435 =&nbsp;\u03c0&nbsp;r&nbsp;2 \u0415\u0442\u043e \u043d\u0430\u0447\u0438\u043d \u0437\u0430 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u043d\u0435 \u043b\u0438\u0446\u0435\u0442\u043e \u043d\u0430 \u043a\u0440\u044a\u0433. \u0420\u0430\u0437\u0434\u0435\u043b\u044f\u043c\u0435 \u043a\u0440\u044a\u0433\u0430 \u043f\u043e \u0440\u0430\u0434\u0438\u0443\u0441\u0438\u0442\u0435 \u043d\u0430 \u0440\u0430\u0432\u043d\u0438 \u0441\u0435\u043a\u0442\u043e\u0440\u0438 \u0441 \u043c\u043d\u043e\u0433\u043e \u043c\u0430\u043b\u044a\u043a \u0446\u0435\u043d\u0442\u0440\u0430\u043b\u0435\u043d \u044a\u0433\u044a\u043b \u0438 \u0441\u043b\u0435\u0434 \u0442\u043e\u0432\u0430 \u0433\u0438 \u043f\u043e\u0434\u0440\u0435\u0436\u0434\u0430\u043c\u0435 \u043f\u043b\u044a\u0442\u043d\u043e \u0435\u0434\u0438\u043d \u0434\u043e \u0434\u0440\u0443\u0433, \u0442\u0430\u043a\u0430 \u0447\u0435 \u0434\u0430 \u043e\u0431\u0440\u0430\u0437\u0443\u0432\u0430\u0442&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"pagelayer_contact_templates":[],"_pagelayer_content":"","_kadence_starter_templates_imported_post":false,"_kad_post_transparent":"","_kad_post_title":"","_kad_post_layout":"","_kad_post_sidebar_id":"","_kad_post_content_style":"","_kad_post_vertical_padding":"","_kad_post_feature":"","_kad_post_feature_position":"","_kad_post_header":false,"_kad_post_footer":false,"_kad_post_classname":"","footnotes":""},"class_list":["post-409","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/matematika.850football.com\/index.php?rest_route=\/wp\/v2\/pages\/409","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/matematika.850football.com\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/matematika.850football.com\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/matematika.850football.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/matematika.850football.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=409"}],"version-history":[{"count":55,"href":"https:\/\/matematika.850football.com\/index.php?rest_route=\/wp\/v2\/pages\/409\/revisions"}],"predecessor-version":[{"id":1365,"href":"https:\/\/matematika.850football.com\/index.php?rest_route=\/wp\/v2\/pages\/409\/revisions\/1365"}],"wp:attachment":[{"href":"https:\/\/matematika.850football.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=409"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}