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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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Norris's Hand-book for Locomotive Engineers and Machinists

Septimus Norris - Locomotives - 1852 - 368 pages
...length of the arc, adb, by half the length of the radius, ac ; the product will be the areaRULE 2- — As 360 degrees is to the number of degrees in the...; 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 chord, ab, of -the whole...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1852 - 436 pages
...(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 the area of the whole circle to the area of the sector. Ex. 1. To find the area of a circular sector whose arc contains...
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The American House Carpenters' and Joiners' Assistant: Being a New and Easy ...

Lucius D. Gould - Carpentry - 1853 - 234 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. — To the chord of the whole arc, add the chord of...
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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
...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 to be 32^ inches, and the radius,...
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Norris's Hand-book for Locomotive Engineers and Machinists ...

Septimus Norris - Locomotives - 1854 - 334 pages
...length of the arc, ad I, by half the length of the radius, ac; the product 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. add the chord, ac, of half the arc and one-third of it more. Then multiply the sum by the versed sine,...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - Geometry - 1854 - 436 pages
...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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Elements of Plane and Spherical Trigonometry: With Their Applications to ...

Elias Loomis - Trigonometry - 1855 - 192 pages
...radius. See Geometry, Prop. 12, Cor., B. VI. RULE II. As 360 is to the number of degrees in the arc, so is the area of the circle to the area of the sector. This follows from Geometry, Prop. 14, Cor. 2, B. III. Ex. 1. What is the area of a 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
...area of a circular 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,...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, and then multiply this length by...
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The American House Carpenters' and Joiners' Assistant

Lucius D. Gould - 1857 - 492 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 arc of the sector. so is the area 9 f the circle to the area of the sector. To find thi Area of a Segment of a Circle. Rule.—To the...
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The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1858 - 458 pages
...circle. Multiply tlie length of the arc by half the. radius of the 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 the radius of the circle 47 inches. Ans....
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