 | Elias Loomis - 1859 - 372 páginas
...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... | |
 | Benjamin Greenleaf - 1861 - 638 páginas
...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 - 1862 - 518 páginas
...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 - 1863 - 504 páginas
...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 - 1863 - 464 páginas
...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 - 1868 - 340 páginas
...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 - 1869 - 312 páginas
...CIRCLE. 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 - 1872 - 464 páginas
...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... | |
 | James Stewart Eaton - 1872 - 402 páginas
...of the whole circle, and then say, as 360° is to the number of degrees in the arc of the sector, to is the area of the circle to the area of the sector ? or, RULE 2. — First find the length of the arc of the sector, and then multiply this length by... | |
 | 1874 - 1186 páginas
...radius ; the product will be the area. RULE 2. — 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. To find the area of a segment of a circle. — RULE 1. — To the chord of the whole arc, add the chord... | |
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So IS THE AREA OF THE CIRCLE, TO THE AREA OF THE SECTOR. 
