| 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.... | |
| 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... | |
| 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... | |
| 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.... | |
| 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.... | |
| 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.... | |
| 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... | |
| 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.... | |
| 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... | |
| 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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