 | Adrien Marie Legendre - 1874 - 500 páginas
...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... | |
 | James Elliot - 1879 - 118 páginas
...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 - 1879 - 282 páginas
...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 - 1882 - 286 páginas
...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 - 198 páginas
...of the 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.... | |
 | William Kent - 1895 - 1234 páginas
...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... | |
 | 1900 - 428 páginas
...the sector AEBC by the following rule of proportion : As 360 degrees is to the number of degrees in the sector so is the area of the circle to the area of the sector. The area of a circle 48 inches in diameter is 1,809.6 square inches; hence we have 360 : 130° 34'... | |
 | William Kent - 1907 - 1206 páginas
...Multiply the arc of the sector by half its radius. RULE 2. As 360 is to the number of degrees in the arc, so is the area of the circle to the area of the sector. RULE 3. Multiply the number of degrees in the arc by the square of the radius and by .008727. To find... | |
 | Frederick Thomas Hodgson - 1904 - 370 páginas
...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. NOTE. — If the diameter of radius is not given, add the square of half the chord of the arc to the... | |
 | 1906 - 576 páginas
...by the arc of a circle and two radii. To find its area : — As 360° is to the number of degrees in the angle of the sector, so is the area of the circle to the area of the sector. Or, multiply the arc by the radius, and take half the product. The segment of a circle is the figure... | |
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So IS THE AREA OF THE CIRCLE, TO THE AREA OF THE SECTOR. 
