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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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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 896 pages
...Multiply the radius into half the length of the arc: Or, As 300, to the number of degrees in the arc, so is the area of the circle, to the area of the sector. 823 Ex. If the arc AOB be 120, and the diameter of the circle 226. what is the area of the sector...
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Elementary Course of Geometry ...

Charles William Hackley - Geometry - 1847 - 248 pages
...proportion to the whole circle that its arc does to the whole circumference. RULE II. 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. This is evident, because the sector is proportional to the...
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The Decorator's assistant

458 pages
...diameter DB being given. A -^ - -^ B I. When the circumference is given, make the following proportion — as 360 degrees is to the number of degrees in the arc, BO is the circumference to the length of the arc. _2. When the diameter is given, first find the circumference...
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A Treatise of Plane Trigonometry, and the Mensuration of Heights and ...

Jeremiah Day - Logarithms - 1848 - 153 pages
...MULTIPLY THE RADIUS INTO HALF THE LENGTH CITES ARC. Or, As 360, TO THE NUMBER OF DEGREES IN THE ARC -, SO IS THE AREA OF THE CIRCLE, TO THE AREA OF THE 8ECTOR. It is evident, that the area of the sector has the same ratio to the area of the circle, which...
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Ticknor's Mensuration, Or, Square and Triangle: Being a Practical and ...

Almon Ticknor - Measurement - 1849 - 144 pages
...the circle, so are the 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,...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 30, and the diameter of the circle...
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Scribner's Engineers' and Mechanics' Companion: Comprising United States ...

J. M. Scribner - Mechanical engineering - 1849 - 264 pages
...the length of the arc thus found, by half 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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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - Trigonometry - 1849 - 384 pages
...Prop. XII. Cor. 1). RULE II.—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. 1. To find the area of a circular sector whose arc contains...
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Engineers' and Mechanics' Pocket-book ...

Charles Haynes Haswell - Engineering - 1851 - 332 pages
...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 of half the chord of the arc to the...
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A Complete System of Mensuration ...

Alexander Ingram - 1851 - 204 pages
...length of the arc, and work as before. Or find the area of the circle : then, as 360 to the angle of the sector, so is the area of the circle to the area of the sector.* 1. Required the area of a sector, of which the arc is 79, and the radius of the circle 47 yards. 79...
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A Course of Mathematics: Containing the Principles of Plane Trigonometry ...

Jeremiah Day - Geometry - 1851 - 418 pages
...MULTIPLY THE RADIUS INTO HALF THE LENGTH OF THE ARC. Or, As 360, TO THE NUMBER OF DEGREES IN THE ARC J So IS THE AREA OF THE CIRCLE, TO THE AREA OF .THE SECTOR. It is evident, that the area of the sector has the same ratio to the area of the circle, which the...
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