{"id":8343,"date":"2021-11-20T22:07:42","date_gmt":"2021-11-20T16:37:42","guid":{"rendered":"https:\/\/mathemerize.com\/?p=8343"},"modified":"2022-02-01T00:09:02","modified_gmt":"2022-01-31T18:39:02","slug":"what-is-the-parametric-equation-of-circle","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/what-is-the-parametric-equation-of-circle\/","title":{"rendered":"Parametric Equation of Circle"},"content":{"rendered":"

Parametric Equation of Circle<\/h2>\n

(i) The parametric equation of circle \\(x^2 + y^2\\) = \\(r^2\\) are<\/p>\n

x = rcos\\(\\theta\\), y = rsin\\(\\theta\\) ; \\(\\theta\\) \\(\\in\\) [0,2\\(\\pi\\)) <\/strong><\/p><\/blockquote>\n

and (rcos\\(\\theta\\), rsin\\(\\theta\\)) are called parametric coordinates.<\/p>\n

Also Read : General Equation of the Circle \u2013 Formula and Examples<\/a><\/p>\n

(ii) The parametric equation of circle \\((x – h)^2 + (y – k)^2\\) = \\(r^2\\) are<\/p>\n

x = h + rcos\\(\\theta\\), y = k + rsin\\(\\theta\\)\u00a0<\/strong><\/p>\n

where \\(\\theta\\) is parameter.<\/strong><\/p><\/blockquote>\n

(iii) The parametric equation of the circle \\(x^2 + y^2 +2gx + 2fy + c\\) = 0<\/p>\n

x = – g + \\(\\sqrt{g^2 + f^2 – c}\\) \\(cos \\theta\\)<\/strong><\/p>\n

y = -f + \\(\\sqrt{g^2 + f^2 – c}\\) \\(sin \\theta\\)<\/strong><\/p><\/blockquote>\n","protected":false},"excerpt":{"rendered":"

Parametric Equation of Circle (i) The parametric equation of circle \\(x^2 + y^2\\) = \\(r^2\\) are x = rcos\\(\\theta\\), y = rsin\\(\\theta\\) ; \\(\\theta\\) \\(\\in\\) [0,2\\(\\pi\\)) and (rcos\\(\\theta\\), rsin\\(\\theta\\)) are called parametric coordinates. Also Read : General Equation of the Circle \u2013 Formula and Examples (ii) The parametric equation of circle \\((x – h)^2 + …<\/p>\n

Parametric Equation of Circle<\/span> Read More »<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[23],"tags":[853,854],"yoast_head":"\nParametric Equation of Circle - Mathemerize<\/title>\n<meta name=\"description\" content=\"In this post you will learn what is the parametric equation of circle for general and standard form of circle.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathemerize.com\/what-is-the-parametric-equation-of-circle\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Parametric Equation of Circle - 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