{"id":16386,"date":"2022-09-24T11:30:50","date_gmt":"2022-09-24T06:00:50","guid":{"rendered":"https:\/\/btechgeeks.com\/?p=16386"},"modified":"2022-09-24T11:48:36","modified_gmt":"2022-09-24T06:18:36","slug":"python-program-to-compute-euclidean-distance","status":"publish","type":"post","link":"https:\/\/btechgeeks.com\/python-program-to-compute-euclidean-distance\/","title":{"rendered":"Euclidean distance formula python &#8211; Python Program to Compute Euclidean Distance"},"content":{"rendered":"<p><strong>Euclidean distance formula python: <\/strong>In the previous article, we have discussed <a href=\"https:\/\/btechgeeks.com\/python-program-to-find-armstrong-number-in-an-interval\/\">Python Program to Find Armstrong Number in an Interval<\/a><br \/>\n<strong>Euclidean distance :<\/strong><\/p>\n<p><strong>Python math distance: <\/strong>The Euclidean distance between any two points in two-dimensional or three-dimensional space is used to calculate the length of a segment connecting the two points. It is also known simply as representing the distance between two points.<\/p>\n<p><strong>Formula\u00a0 to Compute<\/strong> <strong>Euclidean distance :<\/strong><\/p>\n<p>Let A(x1,y1) ,B(x2, y2) are the two points in 2-dimensional plane<\/p>\n<p>Euclidean distance<strong> = \u221a[\u00a0(x<span id=\"MathJax-Element-3-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"font-family: 'Untitled Sans', sans-serif; margin: 0px; padding: 1px 0px; border: 0px; font-style: normal; font-weight: 400; font-size: 18.08px; line-height: 0; vertical-align: baseline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; color: #333333; background-color: #ffffff;\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;msub&gt;&lt;mi&gt;&lt;\/mi&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/msub&gt;&lt;\/math&gt;\"><span id=\"MJXc-Node-23\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-24\" class=\"mjx-mrow\"><span id=\"MJXc-Node-25\" class=\"mjx-msubsup\"><span id=\"MJXc-Node-26\" class=\"mjx-mi\"><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-27\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0\u2013 x<span id=\"MathJax-Element-4-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"font-family: 'Untitled Sans', sans-serif; margin: 0px; padding: 1px 0px; border: 0px; font-style: normal; font-weight: 400; font-size: 18.08px; line-height: 0; vertical-align: baseline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; color: #333333; background-color: #ffffff;\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;msub&gt;&lt;mi&gt;&lt;\/mi&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/msub&gt;&lt;\/math&gt;\"><span id=\"MJXc-Node-28\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-29\" class=\"mjx-mrow\"><span id=\"MJXc-Node-30\" class=\"mjx-msubsup\"><span id=\"MJXc-Node-31\" class=\"mjx-mi\"><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-32\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<sup>2<\/sup>\u00a0+ (y<span id=\"MathJax-Element-5-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"font-family: 'Untitled Sans', sans-serif; margin: 0px; padding: 1px 0px; border: 0px; font-style: normal; font-weight: 400; font-size: 18.08px; line-height: 0; vertical-align: baseline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; color: #333333; background-color: #ffffff;\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;msub&gt;&lt;mi&gt;&lt;\/mi&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/msub&gt;&lt;\/math&gt;\"><span id=\"MJXc-Node-33\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-34\" class=\"mjx-mrow\"><span id=\"MJXc-Node-35\" class=\"mjx-msubsup\"><span id=\"MJXc-Node-36\" class=\"mjx-mi\"><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-37\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0\u2013 y<span id=\"MathJax-Element-6-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"font-family: 'Untitled Sans', sans-serif; margin: 0px; padding: 1px 0px; border: 0px; font-style: normal; font-weight: 400; font-size: 18.08px; line-height: 0; vertical-align: baseline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; color: #333333; background-color: #ffffff;\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;msub&gt;&lt;mi&gt;&lt;\/mi&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;\/msub&gt;&lt;\/math&gt;\"><span id=\"MJXc-Node-38\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-39\" class=\"mjx-mrow\"><span id=\"MJXc-Node-40\" class=\"mjx-msubsup\"><span id=\"MJXc-Node-41\" class=\"mjx-mi\"><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-42\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<sup>2<\/sup>]<\/strong><\/p>\n<p><strong>Math Module :<\/strong><\/p>\n<p>Python&#8217;s math module is a built-in module. By importing this module, we can perform mathematical computations.<\/p>\n<p>Numerous mathematical operations like ceil( ), floor( ), factorial( ), sqrt(), mod( ),value of pi ,&#8230;..etc .can be computed with the help of math module.<\/p>\n<p><strong>sqrt()<\/strong> <strong>function :<\/strong><\/p>\n<p>To compute the square root of any expression in Python, use the sqrt() function, which is built into the language.<\/p>\n<p><strong>split() function :<\/strong><\/p>\n<p>The split() function in Python is used to accept multiple inputs in the same line.<\/p>\n<ul>\n<li><a href=\"https:\/\/btechgeeks.com\/python-program-to-check-if-a-given-circle-lies-completely-inside-the-ring-formed-by-two-concentric-circles\/\">Python Program to Check if a given Circle lies Completely Inside the Ring formed by Two Concentric Circles<\/a><\/li>\n<li><a href=\"https:\/\/btechgeeks.com\/python-decimal-module-with-examples\/\">Python decimal Module with Examples<\/a><\/li>\n<li><a href=\"https:\/\/btechgeeks.com\/python-program-to-compute-the-area-and-perimeter-of-octagon\/\">Python Program to Compute the Area and Perimeter of Octagon<\/a><\/li>\n<\/ul>\n<p><strong>Examples:<\/strong><\/p>\n<p><strong>Example1:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given First point values P(x1,y1) : 6 , 7\r\nGiven second point values Q(x2,y2) :  5, 4<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>The Euclidean Distance between the above given two points 'PQ' = 3.1622776601683795<\/pre>\n<p><strong>Example 2:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given First point values P(x1,y1) :  4, 5\r\nGiven second point values Q(x2,y2) : 5, 6<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>The Euclidean Distance is between the above given two points PQ = 1.4142135623730951<\/pre>\n<h2>Program to Compute Euclidean Distance<\/h2>\n<p>Below are the ways to Compute Euclidean Distance.<\/p>\n<ul>\n<li><a href=\"#Using_math_Module_(Static_input)\">Using math Module (Static input)<\/a><\/li>\n<li><a href=\"#Using_math_Module_(User_input)\">Using math Module (User input)<\/a><\/li>\n<\/ul>\n<h3 id=\"Using_math_Module_(Static_input)\">Method #1: Using math Module (Static input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Import math module using the import keyword.<\/li>\n<li>Give the first point values as static input say P(x1,y1), and Store it in a variable.<\/li>\n<li>Give the second point values as static input say Q(x2,y2), and Store it in another variable.<\/li>\n<li>Calculate the Euclidean distance between the given two points with reference to the mathematical formula using built-in math.sqrt() function.<\/li>\n<li>And Store it in another variable.<\/li>\n<li>Print the Euclidean distance between the above given two points &#8216;PQ&#8217;.<\/li>\n<li>The Exit of the program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Import math module using the import keyword.\r\nimport math\r\n# Give the first point values as static input say P(x1,y1) and Store it in a variable.\r\nx_1, y_1 = 6, 7\r\n# Give the second point values as static input say Q(x2,y2) and Store it in another \r\n#variable.\r\nx_2, y_2 = 5, 4\r\n# Calculate the Euclidean distance between given two points with reference to the\r\n# mathematical formula using built-in math.sqrt() function.\r\n# And Store it in another variable.\r\nEucli_dist = math.sqrt((x_2-x_1)**2 + (y_2-y_1)**2)\r\n# Print the Euclidean distance between the above given two points 'PQ'.\r\nprint(\"The Euclidean Distance between the above given two points 'PQ' = \" + str(Eucli_dist))\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The Euclidean Distance between the above given two points 'PQ' = 3.1622776601683795<\/pre>\n<h3 id=\"Using_math_Module_(User_input)\">Method #2: Using math Module (User input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Import math module using the import keyword.<\/li>\n<li>Give the first point values as User input say P(x1,y1) on a single line using built-in map(), split() functions, and Store it in a variable.<\/li>\n<li>Give the second point values as User input say Q(x2,y2) on a single line using built-in map(), split() functions, and Store it in a variable.<\/li>\n<li>Calculate the Euclidean distance between the given two points with reference to the mathematical formula using built-in math.sqrt() function.<\/li>\n<li>And Store it in another variable.<\/li>\n<li>Print the Euclidean distance between the above given two points &#8216;PQ&#8217;.<\/li>\n<li>The Exit of the program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Import math module using the import keyword.\r\nimport math\r\n# Give the first point values as User input say P(x1,y1) on a single line using built-in\r\n# map(),split() functions and Store it in a variable.\r\nprint(\"Given First point values P(x1,y1) : \")\r\nx_1, y_1 = map(int, input().split())\r\n# Give the second point values as User input say Q(x2,y2) on a single line using \r\n#built-in map(),split() functions and Store it in another variable.\r\nprint(\"Given second point values Q(x2,y2) : \")\r\nx_2, y_2 = map(int, input().split())\r\n# Calculate the Euclidean distance between given two points with reference to the\r\n# mathematical formula using built-in math.sqrt() function.\r\n# And Store it in another variable.\r\nEucli_dist = math.sqrt((x_2-x_1)**2 + (y_2-y_1)**2)\r\n# Print the Euclidean distance between the above given two points 'PQ'.\r\nprint(\"The Euclidean Distance is between the above given two points PQ = \" + str(Eucli_dist))\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Given First point values P(x1,y1) : \r\n4 5\r\nGiven second point values Q(x2,y2) : \r\n5 6\r\nThe Euclidean Distance is between the above given two points PQ = 1.4142135623730951<\/pre>\n<p>Explore more instances related to python concepts from\u00a0<a href=\"https:\/\/btechgeeks.com\/python-programming-examples-with-output\/\">Python Programming Examples<\/a>\u00a0Guide and get promoted from beginner to professional programmer level in Python Programming Language.<\/p>\n<ul>\n<li><a href=\"https:\/\/btechgeeks.com\/python-program-to-find-volume-and-surface-area-of-sphere\/\">Python Program to Find Volume and Surface Area of Sphere<\/a><\/li>\n<li><a href=\"https:\/\/btechgeeks.com\/python-program-to-calculate-emi\/\">Python Program to Calculate EMI<\/a><\/li>\n<li><a href=\"https:\/\/btechgeeks.com\/python-program-to-compute-the-area-and-perimeter-of-heptagon\/\">Python Program to Compute the Area and Perimeter of Heptagon<\/a><\/li>\n<li><a href=\"https:\/\/btechgeeks.com\/python-program-to-compute-the-area-and-perimeter-of-octagon\/\">Python Program to Compute the Area and Perimeter of Octagon<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Euclidean distance formula python: In the previous article, we have discussed Python Program to Find Armstrong Number in an Interval Euclidean distance : Python math distance: The Euclidean distance between any two points in two-dimensional or three-dimensional space is used to calculate the length of a segment connecting the two points. 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It is also known ... 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