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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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A Course of Mathematics in Two Volumes for the Use of Academies as Well as ...

Charles Hutton - Mathematics - 1807
...9, for the whole circle. RULE II. 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. This is evident, because the sector is proportional to the...
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A Course of Mathematics: In Three Volumes : Composed for the Use of the ...

Charles Hutton - Mathematics - 1811
...9, for the whole circle. RULE II. 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. This is evident, because the sector is proportional to the...
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A Practical Application of the Principles of Geometry to the Mensuration of ...

Jeremiah Day - Measurement - 1815 - 388 pages
...Multiply the radius into half the length of the arc, Or, A* 360, to the number of degrees in the arc ; 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...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - Mathematics - 1822 - 618 pages
...the whole circle. RULE II. Compute the area of the whole circle : then say, as :5"0 is to the decrees 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 Second [-fifth and Sixth] Part of A Course of Mathematics: Adapted to ...

Jeremiah Day - Geometry - 1824 - 440 pages
...MULTIPLY THE RADIUS INTO HALF THE LENGTH OF THE ARC. Or, As 360, TO THE NUMBER OF DEGREES IN THE ARC ; 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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A Treatise on Practical Mensuration in Eight Parts ...

Anthony Nesbit - Surveying - 1824 - 476 pages
...arc 45 feet, and the radius 37 feet 6 inches? Ans. 2.617ft. 10 in. 6 pa, 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. Kate I. The area of a semicircle, a quadrant, 4.c. may be most...
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A concise system of mathematics

Alexander Ingram - Mathematics - 1830 - 462 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. 39-5...
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The Edinburgh encyclopaedia, conducted by D. Brewster, Volume 14

Edinburgh encyclopaedia - 1830 - 954 pages
...of the sector, and the product will be the area, as in the whole circle. 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. The first of these rules is contained in the last problem,...
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A Treatise of Plane Trigonometry: To which is Prefixed a Summary View of the ...

Jeremiah Day - Logarithms - 1831 - 418 pages
...MULTIPLY THE RADIUS INTO HALF THE LENGTH OF THE ARC. Or, As 360, TO THE NUMBER OF DEGREES IN THE ARC ; 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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The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying

Jeremiah Day - Measurement - 1831 - 394 pages
...MULTIPLY THE RADIUS INTO HALF THE LENGTH OF THE ARC. Or, As 360, TO THE NUMBER OF DEGREES IN THE ARC ; 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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