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" Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius... "
Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ... - Pagina 7
door Woolwich roy. military acad - 1884
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First B.A. Examination, University of London: A Hand-book to the Study of ...

J. G - 1878 - 408 pagina’s
...numerical value of TT to five decimal places, calculate, to the nearest integer, the number of seconds in the angle subtended at the centre of a circle by an arc of length equal to that of the radius of the circle. 11. Assuming the fundamental trigonometrical formulae...
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Mathematical Formulae: For the Use of Candidates Preparing for the Army ...

R. M. Milburn - 1880 - 116 pagina’s
...Measure of any angle is the numerical ratio its subtending arc radius 7. The unit of Circular Measure is the angle subtended at the centre of a circle by an arc equal in length to the radius = i-?-=570-2957795=2o6264"-8. 7T log 57-2957795 = 1-7581226; log 206264-8=5-3144251. 8....
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pagina’s
...miles an hour ; and it overtakes A just on entering Q. Find the rates at which they started. 1. Show that the angle subtended at the centre of a circle by an arc equal to the radius is invariable. Taking 22 : 7 as the ratio of the circumference of a circle to its diameter,...
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The Bombay university calendar, Volume 1

Bombay city, univ - 1880 - 750 pagina’s
...a rectilineal figure similar and similarly situated to a given rectilineal figure of four sides. 6. Prove that the angle subtended at the centre of a circle by an arc which is equal in length to the radios is an invariable angle. Find approximately the number of degrees...
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Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880 - 68 pagina’s
...triangles. 7. Find the Arithmetic, Geometric, and Harmonic means between two given straight lines. 8. The angle subtended at the centre of a circle by an arc, which is equal in length to the radius, is invariable. Express seven-sixteenths of a right angle in...
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London graduation mathematics, questions in arithmetic and algebra set from ...

Thomas Kimber - 1880 - 176 pagina’s
...numerical value of ir to five decimal places, calculate, to the nearest integer, the number of seconds in the angle subtended at the centre of a circle by an arc of length equal to that of the radius of the circle. 17. Assuming the fundamental trigonometrical formulas...
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The Cambridge Examiner, Volume 3

1883 - 536 pagina’s
...STATICS ; HYDROSTATICS. 1. Prove that the circumference of a circle varies as its radius. Hence show that the angle subtended at the centre of a circle by an arc equal in length to the radius is an invariable angle., and find its value in degrees. 2. The angles of a triangle are...
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Introduction to Plane Trigonometry

Thomas Grenfell Vyvyan - 1882 - 150 pagina’s
...the circle ; that is when P= 2-nr, A = Trr*. The area of a circle of radius r is therefore Trr2. 68. The angle subtended at the centre of a circle by an arc equal in length to the radius is constant. Let the arc AB be equal to the radius OA. Let OC be perpendicular to OA. Now...
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Nature, Volume 27

Sir Norman Lockyer - 1883 - 694 pagina’s
...twisted is 2 it — a. The couple produced by this torsion has for moment Him sin a. 1 A radian is the angle subtended at the centre of a circle by an arc equal in length to ihe radius. It has generally been called in lx>oks on trigonometry hitherto by the ambiguous name unit...
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Glossary of navigation

John Bradley Harbord - 1883 - 472 pagina’s
...azimuth passing through the north or south point." Degree (L. gradus, " a step " ; Fr. degrf). — The angle subtended at the centre of a circle by an arc equal to the 360th part of the circumference. A degree is subdivided into 60 minutes, and each minute into...
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