{"id":831868,"date":"2024-06-11T15:08:47","date_gmt":"2024-06-11T09:38:47","guid":{"rendered":"https:\/\/leverageedu.com\/discover\/?p=831868"},"modified":"2024-06-11T15:08:47","modified_gmt":"2024-06-11T09:38:47","slug":"exam-prep-approx-value-of-pi","status":"publish","type":"post","link":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-approx-value-of-pi\/","title":{"rendered":"What is the Approx Value of Pi? How is it Calculated? Complete Details"},"content":{"rendered":"\n<p>The approx value of Pi is 3.14159. It is the ratio between a circle\u2019s circumference and diameter. If we divide the complete circumference of a circle by its diameter, we always get the ratio 22\/7. Pi is represented by the Greek sign \u03c0.<\/p>\n\n\n\n<p>Its exact value is unknown and cannot be computed using the available methods since it is an irrational number, i.e., a non-recurring and non-terminating decimal. The \u03c0 is defined as a circle\u2019s circumference divided by its diameter. It is a constant commonly used in all fields of science and mathematics.<\/p>\n\n\n\n<p>Even if the circle\u2019s size is the same, the value of Pi remains constant. Finding the exact decimal values of \u03c0 is time-consuming. Supercomputers and complex algorithms are used to calculate the value of \u03c0 to one million decimal places. For common use and convenience, the value of \u03c0 in fractions is assumed to be 22\/7 and in decimals to be 3.1415926.<\/p>\n\n\n\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-what-is-pi\">What is Pi?<\/h2>\n\n\n\n<p>Pi is a mathematical symbol. The sign symbolises it \u03c0. It is the ratio between the circle\u2019s circumference and diameter. The value of Pi is irrational. Thus, the exact value of \u03c0 has not yet been determined.<\/p>\n\n\n\n<p>\u03c0 can also be defined as the number of times the diameter has been wrapped around the circumference of a circle. The approximate value of (\u03c0) pi is 3.14, or 22\/7. The following illustration depicts the value of pi and its relationship to the circumference and diameter of a circle.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-pi-values-in-decimal-and-fraction\">Pi Values in Decimal and Fraction<\/h2>\n\n\n\n<p>Pi (or \u03c0) is typically stated in two ways:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Value of pi in decimal<\/li>\n\n\n\n<li>Value of pi in fraction<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-value-of-pi-\u03c0-in-decimal\">Value of Pi (\u03c0) in Decimal<\/h3>\n\n\n\n<p>The Pi value till the first 100 decimal digits is:<\/p>\n\n\n\n<p>3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 59230 78164 06286 20899 86280 34825 34211 7067<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-value-of-pi-\u03c0-in-fraction\">Value of Pi (\u03c0) in Fraction<\/h3>\n\n\n\n<p>Pi\u2019s fractional value is 22\/7. It is known that pi is an irrational number, which means that the digits after the decimal point are infinite and do not terminate. Therefore, 22\/7 is used for everyday calculations. \u2018\u03c0\u2019 is not equal to the ratio of any two numbers; hence, it is an irrational number.<\/p>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table><tbody><tr><td colspan=\"2\"><strong>All Values of Pi (\u03c0)<\/strong><br><\/td><\/tr><tr><td>In Decimal<\/td><td>3.14<\/td><\/tr><tr><td>In Fraction<\/td><td>22\u20447<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-formula-of-pi\">Formula of Pi<\/h2>\n\n\n\n<p>The formula for calculating the value of pi is:<\/p>\n\n\n\n<p>\u03c0 = C\/D<\/p>\n\n\n\n<p>Where,<\/p>\n\n\n\n<p>C is the circumference of the circle.<\/p>\n\n\n\n<p>D is the diameter of the circle.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-how-to-calculate-the-value-of-pi\">How to Calculate the Value of Pi?<\/h2>\n\n\n\n<p>Pi is an irrational integer with an unlimited number of non-repeating decimals. There are several techniques for calculating the value of pi to the hundredth of a place. The most frequent way to calculate pi is to take the ratio of the circle\u2019s circumference to its diameter.<\/p>\n\n\n\n<p>The value of \u03c0 is calculated using the pi formula, which is:<\/p>\n\n\n\n<p>\u03c0 = (circumference\/diameter)<\/p>\n\n\n\n<p>Or, \u03c0 = 3.14159 = 22\/7<\/p>\n\n\n\n<p>Thus, by drawing numerous circles and then calculating the ratio of the circumference to the diameter of the circle, we may determine the value of the circle. The table below illustrates the circle\u2019s circumference, diameter, and ratio.<\/p>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table><tbody><tr><td><strong>Circumference(C)<\/strong><\/td><td><strong>Diameter(D)<\/strong><br><\/td><td><strong>C\/D<\/strong><\/td><\/tr><tr><td>3.1<\/td><td>1<\/td><td>3.1<\/td><\/tr><tr><td>6.24<\/td><td>2<\/td><td>3.12<\/td><\/tr><tr><td>9.378<\/td><td>3<\/td><td>3.126<\/td><\/tr><tr><td>12.5678<\/td><td>4<\/td><td>3.141<\/td><\/tr><tr><td>15.7075<\/td><td>5<\/td><td>3.1415<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-value-of-pi-in-degrees\">Value of Pi in Degrees<\/h2>\n\n\n\n<p>The value of Pi in degrees can be simply calculated using the ratio of the circle\u2019s circumference to its diameter. The circumference of the circle is 2\u03c0r, and its diameter is 2r, where r is the circle\u2019s radius. Also, in the case of a complete circle, the angle subtended in the centre of the circle is 360\u00b0, and there are two half circles in a circle divided by a diameter.<\/p>\n\n\n\n<p>The ratio of the circumference to the diameter yields the value of pi.<\/p>\n\n\n\n<p>2\u03c0r\/2r = 360\u00b0\/2<\/p>\n\n\n\n<p>\u03c0 radians = 180\u00b0<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-examples-on-pi\">Examples on Pi<\/h2>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>A boy goes around a circle with a diameter of 100 metres; how far has he walked?<\/strong><\/li>\n<\/ol>\n\n\n\n<p><strong>Solution:\u00a0<\/strong><\/p>\n\n\n\n<p>Distance walked = Circumference<\/p>\n\n\n\n<p>Circumference = \u03c0 \u00d7 100m = 314.159 m<\/p>\n\n\n\n<p>Therefore, distance walked =314.159 m<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"2\">\n<li><strong>Find the circumference of a circle which has a radius of 12 cm.<\/strong><\/li>\n<\/ol>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Given,<\/p>\n\n\n\n<p>Radius of Circle (r) = 12 cm<\/p>\n\n\n\n<p>Circumfernce of Circle (C) = 2\u03c0r<\/p>\n\n\n\n<p>Value of Pi = 3.14<\/p>\n\n\n\n<p>\u21d2 C = 2 \u2a09 (3.14) \u2a09 (12)<\/p>\n\n\n\n<p>\u21d2 C = 75.36 cm<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"3\">\n<li><strong>Calculate the circumference of the circle, whose diameter is 18 cm.<\/strong><\/li>\n<\/ol>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Formula of Circumference, c = \u03c0 \u00d7 d.<\/p>\n\n\n\n<p>Therefore, the value of d, we get;<\/p>\n\n\n\n<p>C = \u03c0 x 18<\/p>\n\n\n\n<p>=3.14 x 18<\/p>\n\n\n\n<p>= 56.52 cm<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-faqs\">FAQs<\/h2>\n\n\n\n<div class=\"schema-faq wp-block-yoast-faq-block\"><div class=\"schema-faq-section\" id=\"faq-question-1718193204616\"><strong class=\"schema-faq-question\">What is the formula for determining pi?<\/strong> <p class=\"schema-faq-answer\">The pi is a ratio that is derived from a circle. If you know the diameter and circumference of a circle, you can calculate the value of pi as \u03c0 = circumference\/diameter.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1718193265467\"><strong class=\"schema-faq-question\">What is the representation for Pi?<\/strong> <p class=\"schema-faq-answer\">Pi in mathematics is represented by the Greek letter \u03c0.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1718193313452\"><strong class=\"schema-faq-question\">What is the approximate value of pi?<\/strong> <p class=\"schema-faq-answer\">The most approx Pi value is 3.14 (in decimals) and 22\/7 (in fractions).<\/p> <\/div> <\/div>\n\n\n\n<p>This was all about the \u201c<strong><em>Approx Value of Pi<\/em><\/strong>\u201d.\u00a0 For more such informative blogs, check out our <a href=\"https:\/\/leverageedu.com\/discover\/category\/indian-exams\/study-material\/maths\/\"><strong>Maths Section<\/strong><\/a>, or you can learn more about us by visiting our <a href=\"https:\/\/leverageedu.com\/discover\/category\/indian-exams\/study-material\/\"><strong>Study Material Section<\/strong><\/a> page.<\/p>\n","protected":false},"excerpt":{"rendered":"The approx value of Pi is 3.14159. It is the ratio between a circle\u2019s circumference and diameter. If&hellip;\n","protected":false},"author":124,"featured_media":831947,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"editor_notices":[],"footnotes":""},"categories":[369,476,396],"tags":[],"class_list":{"0":"post-831868","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-indian-exams","8":"category-maths","9":"category-study-material"},"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.5 (Yoast SEO v27.5) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>What is the Approx Value of Pi? How is it Calculated? Complete Details | Leverage Edu Discover<\/title>\n<meta name=\"description\" content=\"This blog gives you the Complete Details about What is the Approx Value of Pi? How is it caclulated? 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If you know the diameter and circumference of a circle, you can calculate the value of pi as \u03c0 = circumference\/diameter.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-approx-value-of-pi\/#faq-question-1718193265467","position":2,"url":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-approx-value-of-pi\/#faq-question-1718193265467","name":"What is the representation for Pi?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Pi in mathematics is represented by the Greek letter \u03c0.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-approx-value-of-pi\/#faq-question-1718193313452","position":3,"url":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-approx-value-of-pi\/#faq-question-1718193313452","name":"What is the approximate value of pi?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"The most approx Pi value is 3.14 (in decimals) and 22\/7 (in fractions).","inLanguage":"en-US"},"inLanguage":"en-US"}]}},"acf":[],"_links":{"self":[{"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/posts\/831868","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/users\/124"}],"replies":[{"embeddable":true,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/comments?post=831868"}],"version-history":[{"count":0,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/posts\/831868\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/media\/831947"}],"wp:attachment":[{"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/media?parent=831868"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/categories?post=831868"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/tags?post=831868"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}