 | J. R. Bevis - Geometry - 1896 - 174 pages
...you show that the areas of the circles are to each other as the squares of their radii ? 9. Show that the areas of two circles are to each other as the squares of the diameters. Also that they are to each other as the squares of the circumferences. 10. The area... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 376 pages
...The area of a circle is irR'. 475. COR. II. The area of a sector whose angle is n° is 476. COR. III. The areas of two circles are to each other as the...their radii, or as the squares of their diameters. 477. Find the ratio of the areas of two circles if the radius of one is the diameter of the other.... | |
 | George Washington Hull - Geometry - 1897 - 408 pages
...For C=2nR. §342 Substituting in (1), S = \ X 2nR X R, S = nR\ Also S = 345. COR. 2.—The areas of circles are to each other as the squares of their radii or as the squares of their diameters. Let S and S' denote the areas of two circles, R and R? their radii, and D and tf their diameters. rp,... | |
 | George Albert Wentworth, George Anthony Hill - Arithmetic - 1897 - 476 pages
...sides, or the squares of their radii, or the squares of their apothems. The areas of two circles are as the squares of their radii, or as the squares of their diameters. 323. If a rod 3 ft. high casts a shadow 2 ft. long, how high is a tree which casts a shadow 60 ft.... | |
 | Charles William MacCord - Slide-valves - 1897 - 188 pages
...explained before, the port area is a certain fraction of the piston area. Represent this fraction by F. The areas of two circles are to each other as the squares of their diameters, so that I : F:: D* : d\ where I = piston area; F= port area, as a fraction of piston... | |
 | Silas Ellsworth Coleman - Arithmetic - 1897 - 178 pages
...expressed by saying that either is the converse of the other. EXERCISE. (1) Prove from Art. 98 (3) that the areas of two circles are to each other as the squares of their diameters. Prove the converse. EXAMPLES 49 1. What is the circumference of a circle whose... | |
 | Webster Wells - Geometry - 1898 - 264 pages
...D', respectively. S = = ' S ' wR'* R"' and F' = f^ = ^' (§371 > j S firD 2 jy /R QiT-i \ That is, the areas of two circles are to each other as the...their radii, or as the squares of their diameters. 373. Cor. HI. The area of a sector is equal to one-half the product of its arc and radius. Given s... | |
 | Webster Wells - Geometry - 1898 - 250 pages
...irl\ ri O T_>9 T~>2 & TrR R an 5> = ^D® = ly*' (§ ) , S W/) 2 ' /fiO-TIX That is, </ie areas o/ too. circles are to each other as the squares of their radii, or as the squares of their diameters. 373. Cor. III. The area of a sector is equal to one-half the prodttct of its arc and radius. Given... | |
 | Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 468 pages
...the diameter of the sphere? 692. Cor. IV. Show that the areas of the surfaces of two spheres are to each other as the squares of their radii, or as the squares of their diameters. 693. Cor. V. Can you show that the area of a spher694. PROPOSITION XXX. Let the figure represent a... | |
 | James Howard Gore - Geometry - 1898 - 232 pages
...equal to the area of four great circles. 534. COR. 2. The areas of the surfaces of two spheres are to each other as the squares of their radii, or as the squares of their diameters. 535. The area of a zone is equal to the product of its altitude by the circumference of a great circle.... | |
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The areas of two circles are to each other as the squares of their radii ; or, as the squares of their diameters. 502. Corollary. — When the radius is unity, the area is expressed by -. 503. Theorem — The area of a sector is measured by half the product... 
