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" 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. "
A Practical System of Mensuration of Superficies and Solids ... - Page 51
by J. M. Scribner - 1844 - 123 pages
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A Treatise on Arithmetic ...

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...
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Appleton's Dictionary of Machines, Mechanics, Engine-work, and ..., Volume 2

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...
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Elements of Geometry and Trigonometry: From the Works of A.M. Legendre

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...
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The National Arithmetic on the Inductive System: Combining the Analytic and ...

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....
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Mensuration for pupil teachers

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...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

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.)...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

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.)...
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Mensuration for beginners [With] Answers

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....
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

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,...
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The Mechanical Engineer's Pocket-book: A Reference Book of Rules, Tables ...

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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