{"id":9961,"date":"2023-03-19T20:11:44","date_gmt":"2023-03-19T19:11:44","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=9961"},"modified":"2024-06-19T21:58:39","modified_gmt":"2024-06-19T20:58:39","slug":"how-to-convert-cartesian-to-polar-coordinate-units","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2023\/03\/19\/how-to-convert-cartesian-to-polar-coordinate-units\/","title":{"rendered":"How to Convert Cartesian to Polar | Coordinate Units"},"content":{"rendered":"<p>To convert cartesian to polar, three essential parameters are needed and these parameters are the <strong>Value of x<\/strong> and <strong>Value of y.<\/strong><\/p>\n<h3><strong>The formula for converting cartesian to polar (r\u2220\u03b8):<\/strong><\/h3>\n<p>r = \u221a(x\u00b2 + y\u00b2)<\/p>\n<p>\u03b8 = tan<sup>-1<\/sup>(y \/ x)<\/p>\n<p>Let&#8217;s solve an example;<br \/>\nFind the conversion of cartesian to polar when the value of x is 5 and value of y is 10.<\/p>\n<p>This implies that;<\/p>\n<p>Value of x = 5<br \/>\nValue of y = 10<\/p>\n<p>Finding r:<\/p>\n<p>r = \u221a(5\u00b2 + 10\u00b2)<br \/>\nr = \u221a(25 + 100)<br \/>\nSo, r = \u221a(125)<br \/>\nr = 11.18<\/p>\n<p>Therefore,\u00a0<strong>r\u00a0<\/strong>is\u00a0<strong>11.18<\/strong><\/p>\n<p>Finding \u03b8:<\/p>\n<p>\u03b8 = tan<sup>-1<\/sup>(10 \/ 5)<br \/>\nThen, \u03b8 = tan<sup>-1<\/sup>(2)<br \/>\n\u03b8 = 63.43\u00b0<\/p>\n<p>Therefore,\u00a0<strong>\u03b8\u00a0<\/strong>is\u00a0<strong>63.43\u00b0.<\/strong><\/p>\n<p>Therefore, the <strong>polar coordinates of the Cartesian coordinates (5, 10)<\/strong> is <strong>11.18\u2220(63.43\u00b0).<\/strong><\/p>\n<p>Read more:<a href=\"https:\/\/www.nickzom.org\/blog\/2023\/03\/19\/how-to-convert-polar-to-cartesian-coordinate-units\/\">How to Convert Polar to Cartesian | Coordinate Units<\/a><\/p>\n<h3><strong>How to Convert Cartesian to Polar Using Nickzom Calculator<\/strong><\/h3>\n<p>Nickzom Calculator \u2013 The Calculator Encyclopedia is capable of converting cartesian to polar.<\/p>\n<div>\n<p>To get the answer and workings of cartesian to polar using the Nickzom Calculator \u2013 The Calculator Encyclopedia. First, you need to obtain the app.<\/p>\n<p>You can get this app via any of these means:<\/p>\n<p>Web\u00a0\u2013\u00a0<a href=\"https:\/\/www.nickzom.org\/calculator-plus\">https:\/\/www.nickzom.org\/calculator-plus<\/a><\/p>\n<p>To get access to the\u00a0professional\u00a0version via web, you need to\u00a0register\u00a0and\u00a0subscribe\u00a0to have utter access to all functionalities.<br \/>\nYou can also try the\u00a0demo\u00a0version via\u00a0<a href=\"https:\/\/www.nickzom.org\/calculator\">https:\/\/www.nickzom.org\/calculator<\/a><\/p>\n<p>Android (Paid)\u00a0\u2013\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator\">https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator<\/a><br \/>\nAndroid (Free)\u00a0\u2013\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator\">https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator<\/a><\/p>\n<p>Apple (Paid)\u00a0\u2013\u00a0<a href=\"https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8\">https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8<\/a><br \/>\nOnce, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on <b>Coordinate Units <\/b>under <strong>Switches.<\/strong><\/p>\n<\/div>\n<p><img decoding=\"async\" class=\"alignnone wp-image-9955 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/03\/Screenshot-645.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/03\/Screenshot-645.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/03\/Screenshot-645-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/03\/Screenshot-645-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/03\/Screenshot-645-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Now, Click on\u00a0<strong>Cartesian to Polar <\/strong>under\u00a0<strong>Coordinate Units<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-10007 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/03\/Screenshot-678.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/03\/Screenshot-678.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/03\/Screenshot-678-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/03\/Screenshot-678-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/03\/Screenshot-678-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>The screenshot below displays the page or activity to enter your values, to get the answer for the conversion of cartesian to polar according to the respective parameters which are the <strong>Value of x<\/strong> and<strong>\u00a0Value of y.<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-10008 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/03\/Screenshot-679.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/03\/Screenshot-679.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/03\/Screenshot-679-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/03\/Screenshot-679-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/03\/Screenshot-679-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Now, enter the values appropriately and accordingly for the parameters as required by the <strong>Value of x<\/strong> is <strong>5 <\/strong>and <strong>Value of y<\/strong> is <strong>10.<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-10009 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/03\/Screenshot-680.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/03\/Screenshot-680.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/03\/Screenshot-680-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/03\/Screenshot-680-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/03\/Screenshot-680-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Finally, Click on Calculate<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-10010 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/03\/Screenshot-681.png\" alt=\"How to Convert Cartesian to Polar | Coordinate Units\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/03\/Screenshot-681.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/03\/Screenshot-681-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/03\/Screenshot-681-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/03\/Screenshot-681-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><br \/>\n<img decoding=\"async\" class=\"alignnone wp-image-10011 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/03\/Screenshot-682.png\" alt=\"How to Convert Cartesian to Polar | Coordinate Units\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/03\/Screenshot-682.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/03\/Screenshot-682-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/03\/Screenshot-682-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/03\/Screenshot-682-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>As you can see from the screenshot above, Nickzom Calculator\u2013 The Calculator Encyclopedia solves the conversion of cartesian to polar and presents the formula, workings, and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"To convert cartesian to polar, three essential parameters are needed and these parameters are the Value of x&hellip;","protected":false},"author":5,"featured_media":17553,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_opengraph-title":"","_yoast_wpseo_opengraph-description":"","_yoast_wpseo_twitter-title":"","_yoast_wpseo_twitter-description":"","_lmt_disableupdate":"","_lmt_disable":"","_sitemap_exclude":false,"_sitemap_priority":"","_sitemap_frequency":"","_yoast_wpseo_focuskw_text_input":"","csco_display_header_overlay":false,"csco_singular_sidebar":"","csco_page_header_type":"","footnotes":""},"categories":[119],"tags":[2488,2490,2495,2467,2485,2486],"class_list":["post-9961","post","type-post","status-publish","format-standard","has-post-thumbnail","category-unit-conversions","tag-cartesian","tag-coordinate-units","tag-polar","tag-units-conversions","tag-value-of-x","tag-value-of-y","cs-entry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.8 - 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