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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 282
by Robert Stuart - 1854
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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 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 ...

Charles Haynes Haswell - Engineering - 1853 - 318 pages
...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 - 264 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 - 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...
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The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1858 - 472 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 - 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...
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Commercial class book

Alfred Newsom Niblett - 1861 - 204 pages
...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 - 518 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 - 532 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 - 504 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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