{"id":6162,"date":"2026-03-02T01:45:36","date_gmt":"2026-03-01T20:15:36","guid":{"rendered":"https:\/\/vajiramandravi.com\/upsc-exam\/?p=6162"},"modified":"2026-03-11T18:32:38","modified_gmt":"2026-03-11T13:02:38","slug":"aryabhatta","status":"publish","type":"post","link":"https:\/\/vajiramandravi.com\/upsc-exam\/aryabhatta\/","title":{"rendered":"Aryabhata Biography, Contributions, Life History, Inventions"},"content":{"rendered":"

Aryabhatta\u00a0(476\u2013550 CE)<\/strong>\u00a0is regarded as a pioneer of\u00a0mathematical astronomy\u00a0<\/strong>in ancient India whose work is available to modern scholars. His works include the\u00a0Aryabhatiya and the Arya Siddhanta.<\/strong>Among other things, Aryabhatta calculated the closest approximate\u00a0value of \u2018pi\u2019\u00a0<\/strong>and he was the first to explain that the moon and planets shine due to reflected sunlight and made major contributions to the fields of trigonometry and algebra.<\/p>\r\n

Aryabhatta Early Life<\/h2>\r\n

Aryabhatta (476\u2013550 CE)\u00a0<\/strong>was the first of the major mathematician-astronomers from the classical age of Indian mathematics and astronomy.<\/p>\r\n

Aryabhatta Education and Career<\/h3>\r\n

Aryabhatta studied at Kusumapura (Patliputra) for advanced studies.<\/p>\r\n

    \r\n\t
  • Given that\u00a0Nalanda University<\/strong>\u00a0was located in Pataliputra and had an astronomical observatory, it is possible that Aryabhatta was the head of Nalanda University at that time.<\/li>\r\n\t
  • Aryabhatta is also said to have established an observatory at the Sun Temple in Taregana, Bihar.<\/li>\r\n<\/ul>\r\n

    Literary Works of Aryabhatta<\/h2>\r\n

    Aryabhatta wrote several treatises on mathematics and astronomy, some of which have since been lost.<\/p>\r\n

      \r\n\t
    • Aryabhatiya (5th century AD): It is a detailed text on mathematics and astronomy.<\/strong><\/li>\r\n\t
    • The\u00a0mathematical part of the Aryabhatiya covers<\/strong>\u00a0arithmetic, algebra, plane trigonometry, spherical trigonometry, fractions, quadratic equations, sums-of-power series, and a table of sines.<\/li>\r\n\t
    • Khagol-shastra:\u00a0<\/strong>The part of Aryabhatiya which deals with astronomy is known as Khagol-shastra.Khagol was the famous astronomical observatory at Nalanda, where Aryabhatta studied.<\/li>\r\n\t
    • Arya Siddhanta:\u00a0<\/strong>It deals with\u00a0astronomical calculation<\/strong>\u00a0and it contains a description of several astronomical instruments like:\r\n\r\n
        \r\n\t
      • The gnomon (shanku-yantra)<\/li>\r\n\t
      • A shadow instrument (chhaya-yantra)<\/li>\r\n\t
      • Semicircular and circular angle-measuring devices (dhanur-yantra\/ chakra-yantra)<\/li>\r\n\t
      • A cylindrical stick called the yastiyantra<\/li>\r\n\t
      • An umbrella-shaped device (chhatra-yantra)<\/li>\r\n\t
      • Bow-shaped as well as cylindrical water clocks<\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\n

        Aryabhatta Contribution in Astronomy<\/h2>\r\n

        Aryabhatta's system of astronomy was called the audAyaka system (days are reckoned from uday, dawn at Lanka, equator).<\/p>\r\n

          \r\n\t
        • Principle of Rotation:\u00a0<\/strong>The discovery, recorded in the Aryabhatiya, that the\u00a0Earth rotates around its own axis<\/strong>\u00a0from\u00a0west to east<\/strong>\u00a0is significant.\r\n\r\n
            \r\n\t
          • Aryabhatta also declared that the Earth rotates around the sun and the moon moves round the earth.<\/li>\r\n<\/ul>\r\n<\/li>\r\n\t
          • Eclipses:\u00a0<\/strong>In Aryabhatiya he introduces the\u00a0idea of shadows<\/strong>, cast by and falling on earth, moon, and planets, and states that the lunar eclipse is caused by the entering of the moon into the earth's shadow.\r\n\r\n
              \r\n\t
            • Aryabhatta gives formulas for the length and diameter of the earth's shadow, the timing and duration of the eclipses, and or the size of the\u00a0eclipsed\u00a0<\/strong>part of the sun or moon.<\/li>\r\n<\/ul>\r\n<\/li>\r\n\t
            • Circumference of the Earth:<\/strong>\u00a0Aryabhatta also revealed that the\u00a0circumference of the Earth is 39,968km<\/strong>.\r\n\r\n
                \r\n\t
              • It is 40,072 km according to modern scientific calculations.<\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\n

                Aryabhatta Contribution in Mathematics<\/h2>\r\n

                A few of the Aryabhata\u2019s contributions to mathematics includes following:<\/p>\r\n

                  \r\n\t
                • Decimal places:\u00a0<\/strong>Aryabhatta invented the\u00a0decimal system<\/strong>\u00a0and\u00a0used zero as a placeholder<\/strong>.\r\n\r\n
                    \r\n\t
                  • He names the first 10 decimal places and gives algorithms for obtaining square and cubic roots, using the decimal.<\/li>\r\n<\/ul>\r\n<\/li>\r\n\t
                  • Value of \u2018pi\u2019:<\/strong>\u00a0He treats\u00a0geometric measurements\u00a0<\/strong>employing 62,832\/20,000 (= 3.1416) for \u03c0, very close to the\u00a0actual value of 3.14159.<\/strong>\r\n
                      \r\n\t
                    • Aryabhatta's value of \u2018pi\u2019 is very close to the modern value and the most accurate among the ancients.<\/li>\r\n\t
                    • Furthermore, it is also considered that Aryabhata knew that the value of \u2018pi\u2019 is irrational.<\/li>\r\n<\/ul>\r\n<\/li>\r\n\t
                    • Area of Triangle:\u00a0<\/strong>Aryabhatta correctly calculated the areas of a triangle and of a circle.\r\n\r\n
                        \r\n\t
                      • For example, in\u00a0Ganitapadam,<\/strong>\u00a0he mentioned that \u201cfor a triangle, the result of a perpendicular with the half-side is the area.\u201d<\/li>\r\n<\/ul>\r\n<\/li>\r\n\t
                      • Table of sines:\u00a0<\/strong>Using the\u00a0Pythagorean theorem<\/strong>, he obtained one of the two methods for constructing his table of sines.<\/li>\r\n\t
                      • Other contributions:\u00a0<\/strong>Mathematical series, quadratic equations, compound interest (involving a quadratic equation), proportions (ratios), and the solution of various linear equations among the arithmetic and algebraic topics included.<\/li>\r\n<\/ul>\r\n

                        Legacy of Aryabhatta<\/h3>\r\n

                        The calendrical calculations introduced by Aryabhata and his followers have been in continuous use in India for the practical purposes of preparing the\u00a0Panchangam\u00a0<\/strong>(Hindu calendar).<\/p>\r\n

                          \r\n\t
                        • Aryabhatta Award: An annual award, instituted by the Astronautical Society of India.<\/strong><\/li>\r\n\t
                        • The award is presented to individuals with notable lifetime contributions in the field of\u00a0astronautics and aerospace technology\u00a0<\/strong>in India.<\/li>\r\n\t
                        • India\u2019s first satellite Aryabhata<\/strong>\u00a0and the lunar crater Aryabhata were named to honour this great Indian scientist.<\/li>\r\n\t
                        • The Aryabhatta Research Institute of Observational Sciences (ARIES)\u00a0<\/strong>as a centre for research and training in astrophysics, astronomy, and atmospheric sciences was set up near Nainital (Uttarakhand).<\/li>\r\n\t
                        • Bacillus Aryabhattai<\/strong>, is a bacterial species discovered in 2009 by ISRO scientists.<\/li>\r\n<\/ul>","protected":false},"excerpt":{"rendered":"

                          Aryabhatta was a mathematician and astronomer who calculated the approximate value of pi. Check about Aryabhata Biography, Contributions, Life History, Inventions etc<\/p>\n","protected":false},"author":6,"featured_media":6163,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[239],"tags":[726,40],"class_list":{"0":"post-6162","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-quest-level-4","8":"tag-aryabhata-biography","9":"tag-quest"},"acf":[],"_links":{"self":[{"href":"https:\/\/vajiramandravi.com\/upsc-exam\/wp-json\/wp\/v2\/posts\/6162","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vajiramandravi.com\/upsc-exam\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/vajiramandravi.com\/upsc-exam\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/vajiramandravi.com\/upsc-exam\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/vajiramandravi.com\/upsc-exam\/wp-json\/wp\/v2\/comments?post=6162"}],"version-history":[{"count":1,"href":"https:\/\/vajiramandravi.com\/upsc-exam\/wp-json\/wp\/v2\/posts\/6162\/revisions"}],"predecessor-version":[{"id":19781,"href":"https:\/\/vajiramandravi.com\/upsc-exam\/wp-json\/wp\/v2\/posts\/6162\/revisions\/19781"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/vajiramandravi.com\/upsc-exam\/wp-json\/wp\/v2\/media\/6163"}],"wp:attachment":[{"href":"https:\/\/vajiramandravi.com\/upsc-exam\/wp-json\/wp\/v2\/media?parent=6162"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vajiramandravi.com\/upsc-exam\/wp-json\/wp\/v2\/categories?post=6162"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vajiramandravi.com\/upsc-exam\/wp-json\/wp\/v2\/tags?post=6162"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}