| 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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