 | Ernest Edmund Maddox - 1893 - 206 стор.
...taken from the well-known " circular measure." It 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. Circular measure has a certain theoretical interest. The third... | |
 | George Albert Wentworth, George Anthony Hill - 1894 - 150 стор.
...half an arc is 12 feet, and the 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... | |
 | George Albert Wentworth - 1896 - 296 стор.
...circumference subtended by an arc 77 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- ^... | |
 | John Bradley Harbord - 1897 - 554 стор.
...of azimuth passing through the north or south point." Degree (L. gradus, "a step"; FT. degre).—The angle subtended at the centre of a circle by an arc equal to the 300th part of the circumference. Each degree is subdivided into 60 minutes, and each minute into 60... | |
 | Andrew Jamieson - 1897 - 416 стор.
...and not in degrees. The unit angle in circular measure is called the radian, and may be defined as the angle subtended at the centre of a circle by an arc of its circumference, equal in length to the radius of the circle. Hence, if t is in seconds, the unit... | |
 | Eldred John Brooksmith - 1901 - 368 стор.
...the cutting being 15 feet, and the slopes of both sides 45°. III. PART I. TH1RD PAPER. 1. Prove that the angle subtended at the centre of a circle by an arc which is equal in length to the radius is an invariable angle, and explain what is meant by the circular... | |
 | Augustus Jay Du Bois - 1902 - 682 стор.
...radians, and 4 5 radians in terms of degrees. ANS. — radians = 0.7854 radians; 257° 49' 51". 636. 4 (5) The angle subtended at the centre of a circle by an arc whose length is 1.57 feet is fj° ; what is the radius ? ANS. = * or r=r 1 80 I5jr (6) What is the... | |
 | A. Freeland Fergus - 1903 - 130 стор.
...the centradian and as to the prism-dioptre. there it was stated that the unit of this measurement is the angle subtended at the centre of a circle by an arc equal in length to the radius of the circle. This angle is approximately 57'295 degrees, and is called the... | |
 | John Gibson - 1903 - 288 стор.
...Intermediate Trigonometry. 3 hours. (Set at an Admiralty Junior Appointment Competition.) 1. Prove that the angle subtended at the centre of a circle by an arc which is equal in length to the radius is an invariable angle, and explain what is meant by the circular... | |
 | Andrew Jamieson - 1903 - 748 стор.
...and not in degrees. The unit angle in circular measure is called the radian, and may be defined as the angle subtended at the centre of a circle by an arc of its circumference, equal in length to the radius of the circle. Hence, if t is in seconds, the unit... | |
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Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius... 
