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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

Mathematics: Compiled from the Best Authors and Intended to be the ..., Volume 2

Mathematics - 1801
...'Multiply the radius, or half the diameter, by half the arc of the sector for the area. Or, take •£ of the product of the diameter and arc of the sector. NOTE. The arc may be found by Problem X. •c •"—" • RULE 2.f As 360 is to the degrees in the arc of the sector, so is the whole area...

The Accomplished Tutor: Or, Complete System of Liberal Education ..., Volume 1

Thomas Hodson - Education - 1806
...CIRCLE. Fig.22. RULE i. Multiply the radius by half the arc •f the fe&or, and the product is the area. RULE 2. As 360 is to the degrees in the arc of the fe£tor, fo is the. whole area of the circle to the area of the fedor. Nate. For the femieircle take...

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

Charles Hutton - Mathematics - 1807
...firstTrule to problem 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...

A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - Mathematics - 1811
...rule to problem 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...

The complete measurer: or, The whole art of measuring, containing the ...

Thomas Keith - 1817
...the arc by the radius of the circle, and the product is the area of the si'ctor. RUI.F. II. As 36() is to the degrees in the arc of the sector, so is the are* of the whole circle to the area of the sector. Example 1. Let ADBE be the sector of a circle less...

A treatise of practical mensuration

Anthony Nesbit - Measurement - 1824 - 434 pages
...chord of half the 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....

The Operative Mechanic, and British Machinist: Being a Practical ..., Volume 1

John Nicholson - Electronic book - 1825 - 795 pages
...Rule\. Multiply the radius, or half the diameter, by half the arc of the sector, for the area. Or take ^ of the product of the diameter and arc of the sector....Rule 2. As 360 is to the degrees in the arc of the lector, «o it the whole area of the circle, to the area of the sector. Ex. What is the area of the...

The Operative Mechanic, and British Machinist: Being a Practical Display of ...

John Nicholson - Industries - 1825 - 795 pages
...the diameter, by half the arc of the sector, for the area. Or take £ of the product of the diaineter and arc of the sector. Note. The arc may be found...As 360 is to the degrees in the arc of the sector, go is the whole area of the circle, to the area of tbe soctor. Ex. What is the area of the sector CAB,...