| James Stewart Eaton - 1872 - 402 pages
...area of a circular sector, RULE 1. — First find the area of the whole circle, and then say, as 360° **is to the number of degrees in the arc of the sector,** to is the area of the circle to the area of the sector ? or, RULE 2. — First find the length of the... | |
| Mechanical engineering - 1874 - 1182 pages
...the length of the arc by half the length of the radius ; the product will be the area. RULE 2. — **As 360 degrees is to the number of degrees in the...the area of the circle to the area of the sector.** To find the area of a segment of a circle. — RULE 1. — To the chord of the whole arc, add the chord... | |
| Adrien Marie Legendre - Geometry - 1874 - 512 pages
...the whole circle, by the last rule; then write t/te proportion, as 360 is to the number of decrees in **the sector, so is the area of the circle to the area of the sector.** EXAMPLES. , 1. Find the area of a circular sector, whose arc contains 18°, the diameter of the circle... | |
| Benjamin Greenleaf - Arithmetic - 1878 - 470 pages
...by half the radius of the circle. Or, As 360° are to the degrees in the arc of the sector, so it, **the area of the circle to the area of the sector. Ex. 1** . Required the area of a sector, of which the arc is 79 and the radius of the circle 47 inches. Ans.... | |
| James Elliot - Measurement - 1879 - 118 pages
...the arc, find the area of the whole circle, and say — As 360 degrees to the number of degrees in **the sector, so is the area of the circle to the area of the sector.** DEM. The dem. of Rule 1 is precisely the same as that of the rule in Pr. xn., the sector being regarded... | |
| Isaac Sharpless - Geometry - 1879 - 282 pages
...angles is to the angle of the sector—or, As the whole circumference is to the arc of the sector—so **is the area of the circle to the area of the sector.** (V. 25.) . II. Multiply the arc of the sector by the radius, and divide by two. (Proved as VI. 12.)... | |
| Isaac Sharpless - Geometry - 1882 - 292 pages
...As four right angles is to the angle of the sector — or, As the whole circumference is to the are **of the sector — so is the area of the circle to the area of the sector.** (V. 25.) II. -Multiply the arc of the sector by the radius, and divide by two. (Proved as VI. 12.)... | |
| William Dodds - 1883 - 202 pages
...circle and the angle of the sector are given, ROLE. As 30O is to the number of degrees in tho angle **of the sector, so is the area of the circle to the area of the sector.** [When the radius or diameter is given, the area of the circle innsi first bo found by Art. 102.] Ex.... | |
| Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...following II. Find the area of the whole circle, by tl1e Last rule; then 1 <rite the proportion, 360 **is to the number of degrees in the arc of the sector,** as the area of the circle is to the area of the sector. Examples. 1. Find the area of a circular sector,... | |
| William Kent - Engineering - 1895 - 1244 pages
...Multiply ihe arc of the sectur by half its radius. RI-LK i. As 360 lu to the number of degrees in the arc, **so Is the area of the circle to the area of the sector.** Ki'bB 3. Multiply the number of degrees ID the arc by the square of the radius and by .008727. To finit... | |
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