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" A radian is the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle. "
Elementary Functions and Applications - Page 171
de Arthur Sullivan Gale, Charles William Watkeys - 1920 - 436 pages
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Plane Trigonometry

Webster Wells - 1887 - 158 pages
...known as the circular method, in which the unit of measurement is the angle subtended at the centre of a circle by an arc whose length is equal to the radius of the circle. 5. Let AOВ be any angle, and AOC the unit of circula1 measure. By Geometry, we have...
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The Essentials of Plane and Spherical Trigonometry

Webster Wells - 1887 - 200 pages
...known as the circular method, in which the unit of measurement is the angle subtended at the centre of a circle by an arc whose length is equal to the radius of the circle,. 5. Let AOB be any angle, and AOC the unit of circular measure. Ч.С By Geometry, we...
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A Text-book of Geometry

George Albert Wentworth - 1888 - 272 pages
...inches long, if the radius of the circle is 8 feet 2 inches. 414. Find the angle subtended at the centre of a circle by an arc whose length is equal to the radius of the circle. 415. What is the length of the arc subtended by one side of a regular dodecagon inscribed...
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A Mathematical Solution Book Containing Systematic Solutions to Many of the ...

Benjamin Franklin Finkel - 1888 - 518 pages
...ends with the center of the circle ? [Take *•— 3 . 14159265]. Ans. 57 . 2957795°. Definition. — The angle subtended at the center of a circle by an arc equal in length to the radius is called a radian. 5. A wire is bent into the form of a circle whose...
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Elementary Trigonometry

Henry Sinclair Hall, Samuel Ratcliffe Knight - 1893 - 434 pages
...convenient to use another method of measurement, where the unit is the angle subtended at the centre of a circle by an arc whose length is equal to the radius. This system is known as Circular or Radian Measure, and will be fully explained in Chapter VII. An...
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An Examination Manual in Plane Geometry

George Albert Wentworth, George Anthony Hill - 1894 - 150 pages
...radius of the circle is 18 feet. Find the height of the arc. 2. Find the angle subtended at the centre of a circle by an arc whose length is equal to the radius of the circle (189, 267). 3. In a regular hexagon all the diagonals are drawn. Prove that another regular...
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Exercises in Wentworth's Geometry: With Solutions

George Albert Wentworth - 1896 - 296 pages
...inches long is 77 2irX98 W of 360° -45.01°. 2irx98 Ex. 414. Find the angle subtended at the centre of a circle by an arc whose length is equal to the radius of the circle. SOLUTION. O- 2*11. ({ 419) , af 2w That is, J- ^ - 57.296". 2x3.1416 Ex. 415. What is...
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Plane and Solid Geometry

James Howard Gore - 1899 - 266 pages
...straight line such that the tangents drawn from it to a given circle contain the maximum angles. 43. Find the angle subtended at the center of a circle by an arc 6 ft. long, if the radius is 8 ft. long. 44. To construct a triangle, given its angles and its area....
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Elements of the Differential and Integral Calculus

William Anthony Granville, Percey Franklyn Smith - 1904 - 490 pages
...given, not in degrees, minutes, and seconds, but in terms of the radian as unit angle. This unit angle is the angle subtended at the center of a circle by an arc whose length is equal to that of the radius of the circle. The measure of any angle in terras of this unit is the ratio of the...
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School Science and Mathematics, Volume 22

1922 - 948 pages
...regular figure at the center of its inscribed circle is 36°. How many sides has the figure?" And, "A Radian is the angle subtended at the center of a circle by an ARC equal in length to the Radius." This text also adds confusion by using the English decimal point, a...
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