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" 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. "
A Compendium of Mechanics; Or; Text Book for Engineers, Mill-wrights ... - Page 22
by Robert Brunton - 1828 - 189 pages
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Scribner's Engineers' and Mechanics' Companion: Comprising United States ...

J. M. Scribner - Mechanical engineering - 1849 - 286 pages
...the length ol the radius, and the product will be the ares. Or, as 360 degrees is to the number of degrees in the arc of the sector, so is the area of the cirle to the area of the sector. NOTE. If the dlameter of radius is not given, add the square of half...
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Ticknor's Mensuration, Or, Square and Triangle: Being a Practical and ...

Almon Ticknor - Measurement - 1849 - 156 pages
...number of degrees contained in the are of the sector to the area; or, as 360° 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. 1. Required the area of the sector, the chord of half the arc being...
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Engineers' and Mechanics' Pocket-book ...

Charles Haynes Haswell - Engineering - 1851 - 346 pages
...13. RULB 1. — Multiply the length of the arc adb by half the length of the radius a o. RULE 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...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1852 - 436 pages
...the radius (B. v., P. 15, c). Or, 2. 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. Ex. 1. To find the area of a circular sector whose arc contains 18 degrees, the diameter of the circle...
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Norris's Hand-book for Locomotive Engineers and Machinists

Septimus Norris - Locomotives - 1852 - 356 pages
...length of the radius, ac ; the product will be the areaRULE 2- — 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 sectorTo find the Area-of a Segment of a Circle, fig- 12RULE 1-— To the...
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The Computist's Manual of Facts: And Merchant's and Mechanic's Calculator ...

Ezra S. Winslow - Business mathematics - 1853 - 264 pages
...length of one of the sides of the sector, -—and the product- is the area of the sector. Or, — 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. EXAMPLE. — The length of the arc, CE, of the sector CED, is found...
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The American House Carpenters' and Joiners' Assistant: Being a New and Easy ...

Lucius D. Gould - Carpentry - 1853 - 234 pages
...length of the radius; the product will be the area. Rule 2. — 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. To find the Area of a Segment of a Circle. Rule. — To the chord...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - Geometry - 1854 - 436 pages
...half the radius (BV, P. 15, c). Or, 2. Compute the area of the whole circle: then say, as 360 degrees is to the degrees in the arc of the sector, so is the area of tl1e whole circle to the area of tl1e sector. Ex. 1. To find the area of a circular sector whose arc...
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A Treatise on Arithmetic, Combining Analysis and Synthesis: Adapted to the ...

James Stewart Eaton - Arithmetic - 1857 - 376 pages
...sector, RULE 1. — First fnd the area of the whole circle, and then sny, as 360° 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 ; or, RULE 2. — First find the length of the arc of the sector,...
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The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1858 - 458 pages
...sector of a circle. Multiply the length of the arc by half the radius ofihe circle. Or, As 360° are to the degrees in the arc of the sector, so is 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...
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