 | John Bascombe Lock - Trigonometry - 1884 - 226 pages
...to question 8 for the necessary logarithms. IIL WOOLWICH — PBELIMINABY. June, 1882. 1. Prove that the angle subtended at the centre of a circle by an arc equal in length to its radius is an invariable angle. One angle of a triangle is 45°, and the circular... | |
 | Thomas Minchin Goodeve - Mechanics - 1886 - 252 pages
...radius, as in the figure, we express the magnitude of the angle oc P by the ratio — . Definition : The angle subtended at the centre of a circle by an arc equal to the radius is the unit of circular measure. When an angle is expressed in terms of this unit,... | |
 | Webster Wells - Plane trigonometry - 1887 - 158 pages
...angles, and one of great importance, is 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.... | |
 | Webster Wells - Trigonometry - 1887 - 200 pages
...angles, and one of great importance, is 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.... | |
 | James Gordon MacGregor - Dynamics - 1887 - 540 pages
...one sixtieth part of a degree, and the second, which is one sixtieth part of a minute. The radian is the angle subtended at the centre of a circle by an arc equal in length to the radius. As the circumference of a circle is 27r times the radius, the radian... | |
 | James Gordon MacGregor - Dynamics - 1887 - 540 pages
...one sixtieth part of a degree, and the second, which is one sixtieth part of a minute. The radian is the angle subtended at the centre of a circle by an arc equal in length to the radius. As the circumference of a circle is 2-n- times the radius, the radian... | |
 | George Albert Wentworth - Geometry - 1888 - 264 pages
...the centre by an arc 6 feet 5 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... | |
 | Encyclopedias and dictionaries - 1888 - 924 pages
...again into sixty equal parts called seconds. For theoretical purposes we define the unit angle to be the angle subtended at the centre of a circle by an arc equal to the radiia. This angle we calla "radian." In many treatises the radian measure of an angle... | |
 | Edward Albert Bowser - Geometry - 1890 - 418 pages
...of the square. 8. The area of a circle is 40 feet ; find the side of the inscribed square. 9. Find the angle subtended at the centre of a circle by an arc G feet long, if the radius is 8 feet long. 10. Find the length of the arc subtended by one side of... | |
 | John Thornton (M.A.) - Astronomy - 1890 - 372 pages
...the angle s is about 15' 3"' This gives the moon's semi-diameter as 1,076 miles. Knowing then that the angle subtended at the centre of a circle by an arc equal to the radius contains 206,265", and tnat other angles are proportional to the arcs on which... | |
| |
Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius... 
