 | Encyclopedias and dictionaries - 1911 - 1096 pages
...trigonometry the circular measure of an angle Is employed, in this system the unit angle or radian is the angle subtended at the centre of a circle by an arc equal in length to the radius. The constancy of this angle follows from the geometrical propositions... | |
 | Trinity College (Dublin, Ireland) - 1911 - 614 pages
...assuming that the circumference of every circle has a fixed ratio to its diameter, prove that the size of the angle subtended at the centre of a circle by an arc equal to the radius is the same for all circles. 7. A clock-dial 4 feet in diameter has minute-marks... | |
 | Edward L. Bates, Frederick Charlesworth - Geometry - 1912 - 648 pages
...know that the magnitudes of angles may be measured in units called degrees. If we choose as a unit the angle subtended at the centre of a circle by an arc equal in length to the radius, such an angle or unit is called a radian, and the magnitude of an angle... | |
 | Albert Irvin Frye - Civil engineering - 1913 - 1694 pages
...calculations to express anfiles in circular measure. The unit of circular measure is an angle subtended by an arc whose length is equal to the radius of the circle. The value of such an angle in common measure = 57°— 17'— 45* — 57.2958°. called a radian. The... | |
 | Edward L. Bates, Frederick Charlesworth - Building - 1913 - 226 pages
...have equal areas. x CIRCULAR MEASURE OF AN ANGLE The unit of circular measure is a radian, which is the angle subtended at the centre of a circle by an arc (not chord) of length equal to the radius. Note. — The whole circumference 271* = 277r; hence there... | |
 | William Henry Eccles - Radio - 1918 - 576 pages
...free to oscillate with its own frequency. RADIAN. The unit of circular measure of angle. One radian is the angle subtended at the centre of a circle by an arc equal in length to the radius. 1 radian = 180/7r==57-3 deg. RADIATION. The act of emitting waves ;... | |
 | Ernest Clarke - Eye - 1918 - 266 pages
...centrad as the unit for numbering prisms. The centrad is the hundredth part of a radian, a radian being the angle subtended at the centre of a circle by an arc, which is equal in length to the radius. A prism I centrad, designated I v. deviates a ray of light... | |
 | Arthur Sullivan Gale, Charles William Watkeys - Functions - 1920 - 464 pages
...it may therefore be used as a unit angle. DEFINITION. A radian is the angle subtended at the center of a circle by an arc whose length is equal to the radius. Equation (2) enables us to reduce radians to degrees. The most convenient form of this equation is... | |
 | Richard Glazebrook - Physics - 1922 - 1090 pages
...= 1-60285. (i.) The Radian. — The unit of measurement for ancles is the radian, which is equal to the angle subtended at the centre of a circle by an arc of length equal to the radius. T radians = 180°, 1 radian =57-29578° = 57° 17' 44-81', 1" . =0-017453... | |
 | H. E. Howard - Mathematics - 1926 - 192 pages
...= 1 nautical mile per hour. A difference of 15° in Longitude makes a difference of 1 hour in time. The angle subtended at the centre of a circle by an arc equal in length to the radius = 1 radian = 57.3°. 1 cubic foot of air at 0" C., and at a pressure... | |
| |
Find the angle subtended at the centre of a circle by an arc whose length is equal to the radius of the circle. 
