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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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The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1858 - 458 pages
...of a circle. Multiply the length of the arc by half the radius ofihe circle. 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. Ex. 1. Required the area of a sector, of which the arc is 79 and the radius of the circle 47 inches. Ans....
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Tables of Logarithms of Numbers and of Sines and Tangents for Every Ten ...

Elias Loomis - Logarithms - 1859 - 372 pages
...radius. See Geometry, Prop. 12, Cor., B. VI. RULE II. As 360 is to the number of degrees in the arc, so is the area of the circle to the area of the sector. This follows from Geometry, Prop. 14, Cor. 2, B. III. Ex. 1. "What is the area of a sector whose arc...
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Commercial class book

Alfred Newsom Niblett - 1861 - 204 pages
...of the whole circle, and the remainder will be the length of the arc required. 2. As 300 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.—The area of a semicircle, a quadrant, &c., may be most...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 520 pages
...the arc of the sector by half of its radius (Prop. 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 arc is 80 feet, and its radius, 0 E, 70 feet....
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1861 - 628 pages
...Multiply the arc of the sector by half of its radius (Prop. 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, I E, whose arc is 80 feet, and its radius, 0 E, 70 feet....
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1863 - 504 pages
...Multiply the arc of the sector by half of its radius (Prop. 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 arc is 80 feet, and its radius, 0 E, 70 feet....
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1863 - 464 pages
...the whole circle, by the last rule; then write the proportion, as 360 is to the number of degrees in the sector, so is the area of the circle to the area of the sector. EXAMPLES. 1. Find the area of a circular sector, whose arc contains 18, the diameter of the circle...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1868 - 338 pages
...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 arc is 80 feet, and its radius, 0 E, 70 feet....
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Mensuration for Beginners: With Numerous Examples

Isaac Todhunter - Measurement - 1869 - 312 pages
...179. To find the area of a sector of a circle. RULE. 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. I80. Examples : (1) The radius of a circle is 25 feet, and the angle of the sector is 80 degrees. The...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - Geometry - 1872 - 464 pages
...whole circle, by the last rule; then write the proportion, as 360 is to tJ>e number of de1jreei in the sector, so is the area of the circle to the area of the sector. EXAMPLES. 1. Find the area of a circular sector, whose arc contains 18, the diameter of the circle...
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