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" 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. "
Cyclopedia of Architecture: Historical, Descriptive, Typographical ... - Page 286
by Robert Stuart - 1854
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ELEMENTS OF GEOMETRY AND TRIGONOMETRY

A. M. LEGENDRE - 1852
...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 the area of the whole circle to the area of the sector. Ex. 1. To find the area of a circular sector whose...
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ENGINEERS AND MECHANICS POCKET BOOK

CHAS. H. HASWELL - 1853
...Circle — -Jig. 13. RULE 1. — Multiply the length of the arc adb by half the length of the radius ao. 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...
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The Computist's Manual of Facts: And Merchant's and Mechanic's Calculator ...

Ezra S. Winslow - Business mathematics - 1853 - 252 pages
...the 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...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - Geometry - 1854 - 432 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...
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The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1858 - 444 pages
...sector of a circle. Multiply the 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...
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The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1858 - 444 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...
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Commercial class book

Alfred Newsom Niblett - 1861
...circumference of the whole circle, and the remainder will be the length of the arc required. 2. As 300 is to the degrees in the arc of the sector, so is the area of the whole circle to the area of the sector. NOTE.—The area of a semicircle, a quadrant, &c.,...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 490 pages
...Multiply the arc of the sector by half of its radius (Prop. XV. Cor. 1, Bk. VI.) ; 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. EXAMPLES. 1. Required the area of a sector, DE, whose...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 490 pages
...Multiply the arc of the sector by half of its radius (Prop. XV. Cor. 1, I3k. VI.) ; 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. EXAMPLES. 1. Required the area of a sector, DE, whose...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1863 - 320 pages
...Multiply the arc of the sector by half of its radius (Prop. XV. Cor. 1, Bk. VI.) ; 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. EXAMPLES. 1. Required the area of a sector, DE, whose...
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