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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

## Questions and Answers from the American Machinist

Mechanical engineering - 1900 - 428 pages
...the sector AEBC by the following rule of proportion : As 360 degrees is to the number of degrees in the sector so is the area of the circle to the area of the sector. The area of a circle 48 inches in diameter is 1,809.6 square inches; hence we have 360 : 130° 34'...

## The Mechanical Engineer's Pocket-book: A Reference Book of Rules, Tables ...

William Kent - Engineering - 1907 - 1206 pages
...Multiply the arc of the sector by half its radius. RULE 2. As 360 is to the number of degrees in the arc, so is the area of the circle to the area of the sector. RULE 3. Multiply the number of degrees in the arc by the square of the radius and by .008727. To find...

## Hodgson's Estimator and Contractor's Guide for Pricing Builder's Work ...

Frederick Thomas Hodgson - Architecture, Domestic - 1904 - 364 pages
...find the area of a sector of a circle. Rule. — •!. Find the length of the arc by problem vii. 2. Multiply the length of the arc thus found, by half...the area of the circle to the area of the sector. NOTE. — If the diameter of radius is not given, add the square of half the chord of the arc to the...

## Henley's Encyclopędia of Practical Engineering and Allied Trades: A ...

Joseph Gregory Horner - Engineering - 1906 - 572 pages
...of a circle and two radii. To find its area : — As 360° is to the number of degrees in the angle of the sector, so is the area of the circle to the area of the sector. Or, multiply the arc by the radius, and take half the product. The segment of a circle is the figure...

## Henley's Encyclopaedia of Practical Engineering and Allied Trades ...

1906 - 582 pages
...of a circle and two radii. To find its area : — As 360° is to the number of degrees in the angle of the sector, so is the area of the circle to the area of the sector. Or, multiply the arc by the radius, and take half the product. The segment of a circle is the figure...