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In 1831, George Everest, the Surveyor General of India, was in pursuit of a mathematician who had specialized in Spherical Trigonometry, so that they could be a part of the Great Trigonometric Survey. In 1832, under the leadership of Everest, the longitudinal series of the "triangle" survey was completed from Seronj in Madhya Pradesh to Calcutta in West Bengal. While still working on mapping Calcutta, Bengal, Everest had begun his search for a mathematician, and soon enough, John Tytler, a professor of Mathematics at the Hindu College, now known as the Presidency College, recommended his 19-year-old pupil, Radhanath Sikdar. Radhanath, a student of the college since 1824, was one of the first two Indians to read Isaac Newton's Principia and by 1832; he had studied Euclid's Elements, Thomas Jephson's Fluxion and Analytical Geometry and Astronomy by Windhouse. Taking inspiration from these prestigious papers, he devised a new method to draw a common tangent to two circles, when he was just a teenager. There was little doubt about Radhanath's proficiency in his subject, and he secured the job at the GTS on 19 December 1831 as a "computer" at a salary of thirty rupees per month.

Soon he was sent to Sironj near Dehradun. Even as seven other Bengali ‘computers’ worked alongside him, Radhanath soon showed his superior skills in mathematics and became Everest’s favorite colleague. So much so, that he once stopped his transfer to another department. Radhanath’s job was to carry out geodetic surveys—the study of the earth’s geometric shape orientation in space and gravitational field. He did not just use the established methods but invented his own to accurately measure these factors. George Everest retired in 1843 and was succeeded by Colonel Andrew Scott Waugh. Eight years later, in 1851, Radhanath was promoted to the position of Chief Computer and transferred to Calcutta. Here, he was also a superintendent for the Meteorological Department. At the order of Colonel Waugh, Radhanath started measuring the height of mountains. The brilliant mathematician, who had perhaps never seen Mount Everest, discovered in 1852 that Kangchenjunga, which was considered to be the tallest in the world, wasn’t really so. Compiling data about Mount Everest from six observations, he eventually came to the conclusion that it was the tallest in the world.

It was during the computations of the northeastern observations that Radhanath had calculated the height of Peak XV at exactly 29,000 ft (8839 m), but Waugh added an arbitrary two feet because he was afraid that the Sikdar’s figure would be considered a rounded number rather than an accurate one. He officially announced this finding in March 1856, and this remained the height of Mount Everest till an Indian survey re-calculated it to be 29,029 ft or 8848 m in 1955. Technological advancements, data from the thousands of climbers, and the discovery of different routes to the summit all have led to a more accurate calculation of the height of Mount Everest—a peak that grows at the rate of 4 mm every year and whose summit is slowly moving northeastwards each passing year.

It appears that while Everest and Waugh both extolled him for his exceptional mathematical abilities, his relations with the colonial administration was far from cordial. Two specific instances are on record. In 1851 a Survey Manual (eds. Capt. H. L. Thullier and Capt. F. Smyth) was published by the Survey Department. The preface to the Manual mentions that the more technical and mathematical chapters of the Manual were written by Babu Radhanath Sikdar. The Manual proved to be immensely useful to surveyors. However, the third edition, published in 1875 (i.e., after Sikdar's death) did not contain that preface, so Sikdar's memorable contribution was de-recognized. The incident was condemned by a section of British surveyors. The paper Friend of India in 1876 called it 'robbery of the dead'.

It is also on record that Sikdar was fined a sum of 200 rupees in 1843 for having vehemently protested against the unlawful exploitation of survey department workers by Magistrate Vansittart. The incident was reported in detail in The Bengal Spectator edited by Ramgopal Ghosh. In 1854, Sikdar along with his Derozian friend Peary Chand Mitra started the Bengali journal Masik Patrika, for the education and empowerment of women. He used to write in a simple and uncluttered style that was rather atypical for the age. Sikdar retired from service in 1862 and was later appointed as a teacher of mathematics at the General Assembly's Institution (now Scottish Church College).