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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
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1868 - 320 pages
...Multiply the arc of the sector by half of its radius (Pro]). XV. Cor. 1, Bk. VI.) ; or, As 360 are to the degrees in the arc of the sector, so is the area of the circle to the area of the sector. EXAMPLES. 1. Required the area of a sector, DE, whose...
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A Treatise on Practical Mensuration

Anthony Nesbit - Measurement - 1859 - 450 pages
...the chord of half the arc 45 feet, and the radius 37 feet 6 inches? Ans. 2617ft. 10 in. 6 pa. EULE n. 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. Note 1. — The area of a semicircle, a quadrant,...
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