| Edinburgh encyclopaedia - 1830 - 856 Seiten
...the arc of the sector, and the product will be the area, as in the whole circle. RULE II. As 360° is to the degrees in the arc of the sector, so is...area of the whole circle to the area of the sector. The first of these rules is contained in the last problem, and the truth of the second is sufficiently... | |
| John Nicholson (Esq. Civil Engineer.) - 1831 - 432 Seiten
...product of the diameter and arc of the sector. Note. The arc may be found by problem 10. Rule 2. As 360 is to the degrees in the arc of the sector, so is the whole area of the circle, to the area of the sector. Ex. What is the area of the sector CAB, the radius... | |
| Ireland commissioners of nat. educ - 1834 - 370 Seiten
...the arc by thé radius of the circle, and the product is the area of the sector, f RULE П. As 360 is to the de'grees in the arc of the sector, so is...area of the whole circle to the area of the sector, i 1 . Let A С B О be a sector less than a semi-circle, whose * Demonstration. By the last Problem,... | |
| Adrien Marie Legendre - 1836 - 394 Seiten
...V. Prop. XII. Cer. 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...area of the whole circle to the area of the sector. 1. To find the area of a circular sector whose arc contains 18 degrees, the diameter of the circle... | |
| Commissioners of National Education in Ireland - 1837 - 290 Seiten
...of the arc by the radiusof the circle, and the product is the area of the sector, f RULE II. As 360 is to the degrees in the arc of the sector, so is...area of the whole circle to the area of the sector 4 1. Let ACBO be a sector less than a semicircle whose radius AO is 20 feet, and chord AB 30 feet,... | |
| Commissioners of National Education in Ireland - 1837 - 284 Seiten
...product is the area of the sector, f RULE II. As 360 is to the degrees in the arc of the sector, go is the area of the whole circle to the area of the sector 4 1. Let ACBO be a sector less than a semicircle whose radius AO is 20 feet, and chord AB 30 feet,... | |
| Charles Haynes Haswell - 1844 - 298 Seiten
...1. — Multiply the length of the arc adb by half the length of the radius a a. RDLE 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... | |
| J. M. Scribner - 1844 - 130 Seiten
...the length of the radius, and the product will be the area. Or, 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. Ex. 1. If the arc AB be 120 degrees, and the diameter of the circle... | |
| Charles William Hackley - 1847 - 248 Seiten
...the same 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 whole circle to the area of the sector. This is evident, because the sector is proportional to the length of the arc, or to the degrees contained in... | |
| Charles Davies - 1849 - 372 Seiten
...(Book V. 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...area of the whole circle to the area of the sector. 1. To find the area of a circular sector whose arc contains 1€ degrees, the diameter of the circle... | |
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