{"id":10602,"date":"2025-07-15T13:34:50","date_gmt":"2025-07-15T13:34:50","guid":{"rendered":"https:\/\/functiontranslator.com\/radiany\/"},"modified":"2021-02-26T05:23:47","modified_gmt":"2021-02-26T05:23:47","slug":"radians","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/pl\/radians\/","title":{"rendered":"RADIANY"},"content":{"rendered":"<p>Przekszta\u0142canie stopni na radiany jest kluczowe w r\u00f3\u017cnych dziedzinach matematyki i nauk \u015bcis\u0142ych, zw\u0142aszcza w trygonometrii. Zar\u00f3wno MS Excel, jak i Arkusze Google udost\u0119pniaj\u0105 funkcj\u0119 <code>RADIANS<\/code> (w j\u0119zyku polskim <code>RADIANY<\/code>), kt\u00f3ra umo\u017cliwia \u0142atwe przeliczanie k\u0105t\u00f3w wyra\u017conych w stopniach na radiany. Poni\u017cej znajdziesz szczeg\u00f3\u0142owy opis dzia\u0142ania tej funkcji, jej praktyczne zastosowania oraz przyk\u0142ady jej u\u017cycia.<\/p>\n<h2>Syntaktyka funkcji i przyk\u0142ady jej u\u017cycia<\/h2>\n<p>Syntaktyka funkcji <code>RADIANS<\/code> w MS Excel oraz Arkusze Google jest prosta i jasna, wymaga podania jednego argumentu:<\/p>\n<pre><code><b>Syntaktyka:<\/b> RADIANS(k\u0105t)<\/code><\/pre>\n<p>Argument <code>k\u0105t<\/code> jest warto\u015bci\u0105 k\u0105ta w stopniach, kt\u00f3ry chcemy przeliczy\u0107 na radiany.<\/p>\n<p><b>Przyk\u0142ad:<\/b> Za\u0142\u00f3\u017cmy, \u017ce chcemy przekonwertowa\u0107 180 stopni na radiany:<\/p>\n<pre><code><b>W Excel\/Arkusze Google:<\/b> =RADIANS(180)<\/code><\/pre>\n<p>Funkcja zwr\u00f3ci warto\u015b\u0107 <code>3.14159<\/code>, co jest przybli\u017ceniem liczby \u03c0 (pi), odpowiadaj\u0105cym k\u0105towi 180 stopni wyra\u017conemu w radianach.<\/p>\n<h2>Praktyczne zastosowania funkcji<\/h2>\n<h2>Obliczanie d\u0142ugo\u015bci \u0142uku<\/h2>\n<p><b>Zadanie:<\/b> Oblicz d\u0142ugo\u015b\u0107 \u0142uku ko\u0142a, kt\u00f3rego promie\u0144 wynosi 10 jednostek, a k\u0105t \u015brodkowy \u0142uku ma 30 stopni.<\/p>\n<p><b>Rozwi\u0105zanie:<\/b> D\u0142ugo\u015b\u0107 \u0142uku oblicza si\u0119 z wzoru:<\/p>\n<pre><code>L = r * \u03b8<\/code><\/pre>\n<p>gdzie <code>L<\/code> oznacza d\u0142ugo\u015b\u0107 \u0142uku, <code>r<\/code> to promie\u0144 ko\u0142a, a <code>\u03b8<\/code> to k\u0105t w radianach.<\/p>\n<p>Najpierw przeliczamy k\u0105t ze stopni na radiany:<\/p>\n<pre><code>\u03b8 = RADIANS(30) = 0.5236<\/code><\/pre>\n<p>Nast\u0119pnie obliczamy d\u0142ugo\u015b\u0107 \u0142uku:<\/p>\n<pre><code>L = 10 * 0.5236 = 5.236 jednostek<\/code><\/pre>\n<p>W rezultacie d\u0142ugo\u015b\u0107 \u0142uku wynosi oko\u0142o 5.236 jednostek.<\/p>\n<h2>Analiza funkcji trygonometrycznych<\/h2>\n<p><b>Zadanie:<\/b> Oblicz sinus k\u0105ta 45 stopni.<\/p>\n<p><b>Rozwi\u0105zanie:<\/b> Najpierw konwertujemy k\u0105t na radiany:<\/p>\n<pre><code>\u03b8 = RADIANS(45) = 0.7854<\/code><\/pre>\n<p>Teraz mo\u017cemy obliczy\u0107 sinus tego k\u0105ta:<\/p>\n<pre><code>sin(\u03b8) = SIN(0.7854) \u2248 0.7071<\/code><\/pre>\n<p>Sinus k\u0105ta 45 stopni jest w przybli\u017ceniu r\u00f3wny 0.7071.<\/p>\n<p>Funkcja <code>RADIANS<\/code> w Excelu i Arkuszach Google jest niezast\u0105piona w konwersji mi\u0119dzy stopniami a radianami, umo\u017cliwiaj\u0105c dok\u0142adne wykorzystanie innych funkcji matematycznych, kt\u00f3re wymagaj\u0105 k\u0105t\u00f3w w radianach.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Konwertuje stopnie na radiany<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[423],"tags":[],"class_list":["post-10602","post","type-post","status-publish","format-standard","hentry","category-matematyczne-i-trygonometryczne"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.8 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Funkcja RADIANS (RADIANY) w Excelu \u2013 jak dzia\u0142a, przyk\u0142ady u\u017cycia i sk\u0142adnia<\/title>\n<meta name=\"description\" content=\"Opis funkcji RADIANS (RADIANY) w Excelu. 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