 | Nathan Scholfield - 1845 - 896 pages
...Multiply the radius into half the length of the arc: Or, As 300, to the number of degrees in the arc, so is the area of the circle, to the area of the sector. 823 Ex. If the arc AOB be 120°, and the diameter of the circle 226. what is the area of the sector... | |
 | Charles William Hackley - Geometry - 1847 - 248 pages
...proportion to the whole circle that its arc does to the whole circumference. RULE II. As 360 is to the degrees in the arc of the sector, so is the area of the whole circle to the area of the sector. This is evident, because the sector is proportional to the... | |
 | 458 pages
...diameter DB being given. A -^ - -^ B I. When the circumference is given, make the following proportion — as 360 degrees is to the number of degrees in the arc, BO is the circumference to the length of the arc. _2. When the diameter is given, first find the circumference... | |
 | Jeremiah Day - Logarithms - 1848 - 153 pages
...MULTIPLY THE RADIUS INTO HALF THE LENGTH CITES ARC. Or, As 360, TO THE NUMBER OF DEGREES IN THE ARC -, SO IS THE AREA OF THE CIRCLE, TO THE AREA OF THE 8ECTOR. It is evident, that the area of the sector has the same ratio to the area of the circle, which... | |
 | Almon Ticknor - Measurement - 1849 - 144 pages
...the circle, so are the number of degrees contained in the are of the sector to the area; or, as 360° is to the number of degrees in the arc of the sector,...the area of the circle to the area of the sector. 1. Required the area of the sector, the chord of half the arc being 30, and the diameter of the circle... | |
 | J. M. Scribner - Mechanical engineering - 1849 - 264 pages
...the length of the arc thus found, by half the length ol the radius, and the product will be the ares. Or, as 360 degrees is to the number of degrees in the arc of the sector, so is the area of the cirle to the area of the sector. NOTE. If the dlameter of radius is not given, add the square of half... | |
 | Charles Davies - Trigonometry - 1849 - 384 pages
...Prop. XII. Cor. 1). RULE II.—Compute the area of the whole circle: then say, as 360 degrees is to the degrees in the arc of the sector, so is the area of the whole circle to the area of the sector. 1. To find the area of a circular sector whose arc contains... | |
 | Charles Haynes Haswell - Engineering - 1851 - 332 pages
...Multiply the length of the arc adb by half the length of the radius a o. RULE 2. — As 360 is to the degrees in the arc of the sector, so is the area of the circle to the area of the sector. NOTE. — If the diameter or radius is not given, add the square of half the chord of the arc to the... | |
 | Alexander Ingram - 1851 - 204 pages
...length of the arc, and work as before. Or find the area of the circle : then, as 360° to the angle of the sector, so is the area of the circle to the area of the sector.* 1. Required the area of a sector, of which the arc is 79, and the radius of the circle 47 yards. 79... | |
 | Jeremiah Day - Geometry - 1851 - 418 pages
...MULTIPLY THE RADIUS INTO HALF THE LENGTH OF THE ARC. Or, As 360, TO THE NUMBER OF DEGREES IN THE ARC J So IS THE AREA OF THE CIRCLE, TO THE AREA OF .THE SECTOR. It is evident, that the area of the sector has the same ratio to the area of the circle, which the... | |
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As 360 degrees is to the number of degrees in the arc of the sector, so is the area of the circle to the area of the sector. 
