| Charles Hutton - Mathematics - 1807 - 464 pages
...firstTrule to problem 9, for the whole circle. RULE II. Compute the area of the whole circle : then say, 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... | |
| Charles Hutton - Mathematics - 1811 - 442 pages
...rule to problem 9, for the whole circle. RULE II. Compute the area of the whole circle : then say, 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... | |
| Jeremiah Day - Measurement - 1815 - 388 pages
...Multiply the radius into half the length of the arc, Or, A* 360, to the number of degrees in the arc ; 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... | |
| Thomas Keith - 1817 - 306 pages
...the arc by the radius of the circle, and the product is the area of the si'ctor. RUI.F. II. As 36() is to the degrees in the arc of the sector, so is the are* of the whole circle to the area of the sector. Example 1. Let ADBE be the sector of a circle less... | |
| Charles Hutton - Mathematics - 1822 - 616 pages
...the whole circle. RULE II. Compute the area of the whole circle : then say, as :5"0 is to the decrees 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... | |
| Anthony Nesbit - Surveying - 1824 - 476 pages
...chord of half the arc 45 feet, and the radius 37 feet 6 inches? Ans. 2.617ft. 10 in. 6 pa, 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. Kate I. The area of a semicircle, a quadrant, 4.c. may be most... | |
| Jeremiah Day - Geometry - 1824 - 440 pages
...MULTIPLY THE RADIUS INTO HALF THE LENGTH OF THE ARC. Or, As 360, TO THE NUMBER OF DEGREES IN THE ARC ; 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... | |
| Edinburgh encyclopaedia - 1830 - 856 pages
...diameter, by half 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 the area of the whole circle to the area of the sector. The first of these rules is contained in the last problem,... | |
| Alexander Ingram - Mathematics - 1830 - 458 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. 39-5... | |
| Jeremiah Day - Logarithms - 1831 - 418 pages
...MULTIPLY THE RADIUS INTO HALF THE LENGTH OF THE ARC. Or, As 360, TO THE NUMBER OF DEGREES IN THE ARC ; 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... | |
| |