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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 treatise on practical geometry, mensuration, conic sections, gauging, and ...

Ireland commissioners of nat. educ - 1834 - 370 pages
...by thé radius of the circle, and the product is the area of the sector, f RULE П. As 360 is to the de'grees in the arc of the sector, so is the area of the whole circle to the area of the sector, i 1 . Let A С B О be a sector less than a semi-circle, whose...
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## The American Builder's General Price Book and Estimator: To Elucidate the ...

James Gallier - Building - 1836 - 228 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 Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 472 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. To find the area of the segment of a circle. Find the area of the sector which has the same arc, and...
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## Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 359 pages
...XII. Cer. 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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## The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying ...

Jeremiah Day - Measurement - 1836
...MULTIPLY THE RADIUS INTO HALF THE LENGTH OF THE 4Kc. Or, As 330, TO THE NUMBER OF DEGREES IN THE AKC ; \$O 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 die area of the circle, which the...
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## A Treatise on Mensuration for the Use of Schools

Commissioners of National Education in Ireland - Measurement - 1837 - 262 pages
...by the radiusof the circle, and the product is the area of the sector, f 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 4 1. Let ACBO be a sector less than a semicircle whose radius...
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## A Course of Mathematics: Containing the Principles of Plane ..., Volumes 1-3

Jeremiah Day - Geometry - 1838 - 416 pages
...MULTIPLY THE RADIUS INTO HALF THE LENGTH OP 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 Course of Mathematics: Containing the Principles of Plane ..., Volumes 1-3

Jeremiah Day - Geometry - 1839 - 432 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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## An Encyclopædia of Architecture: Historical, Theoretical, and Practical

Joseph Gwilt - Architects - 1842 - 1114 pages
...the product. This rule is founded on the same basis as that to Problem IX. Rule 2. As 36O 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 manifest, because it is proportional to the length...
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## Engineers' and Mechanics' Pocket-book ...

Charles Haynes Haswell - Engineering - 1844 - 264 pages
...Multiply the length of the arc adb by half the length of the radius a a. RDLE 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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