| Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1918 - 360 pages
...RATIO OF THE AREAS OF TWO CIRCLES 495. THEOREM VIII. The areas of two circles are in the same ratio **as the squares of their radii, or as the squares of their** diameters. Proof. Since the area of a circle is ,rr2, if we have two given circles whose radii are... | |
| Herbert Ellsworth Slaught - 1918 - 344 pages
...RATIO OF THE AREAS OF TWO CIRCLES 495. THEOREM VIII. Ttie areas of two circles are in the same ratio **as the squares of their radii, or as the squares of their** diameters. Proof. Since the area of a circle is Tr?-2, if we have two given circles whose radii are... | |
| Marie Gugle - Mathematics - 1920 - 264 pages
...areas of two circles to find the ratio of their areas? (d) The areas of two circles have the same ratio **as the squares of their radii or as the squares of their** diameters. Show why radii or diameters may be used in these ratios. 7. (a) The rate of the flow of... | |
| Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...Proposition 298 Theorem The lateral areas, or the total areas, of similar cones of revolution are to **each other as the squares of their radii, or as the squares of their** altitudes. Ex. 1142. If the slant height of a cone of revolution is equal to the diameter of the base,... | |
| Robert Remington Goff - 1922 - 136 pages
...each other as the squares of any two corresponding sides. *334. Two similar regular polygons are to **each other as the squares of their radii, or as the squares of their** apothems. *335- The areas of two circles are to each other as the squares of their radii. 337. EXERCISES... | |
| Raleigh Schorling, William David Reeve - Mathematics - 1922 - 460 pages
...Corollary 2. The area of a circle equals — • • 550. Corollary 3. The areas of two circles are to **each other as the squares of their radii or as the squares of their** diameters. EXERCISES 1. Draw a graph of the relation A = wr2, and show why the area of a circle is... | |
| Raleigh Schorling, William David Reeve - Mathematics - 1922 - 476 pages
...other. 536. Corollary. The areas of two regular polygons of the same number of sides have the same ratio **as the squares of their radii or as the squares of their** apothems. 537. Circumference. The length of a circle in linear units is called the circumference. From... | |
| Walter Burton Ford, Charles Ammermann - Geometry, Modern - 1923 - 406 pages
...Ttr2 is the area of a great circle. 380. Corollary 3. 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. 381. Zones. A zone is a portion of the surface of a sphere bounded by the circumferences... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...to the base, or 683. COR. 2. Sections made by planes parallel to the bases of a circular cone are to **each other as the squares of their radii, or as the squares of their** distances from the vertex of the cone. PROPOSITION XXX. THEOREM 684. The lateral area of a cone of... | |
| David Eugene Smith - Geometry, Solid - 1924 - 256 pages
...product of the diameter and the circumference of a great circle. 2. The areas of two spheres are to **each other as the squares of their radii, or as the squares of their** diameters. 3. The area of a sphere is 72 sq. in. Find the area of a lune whose angle is 10°. It is... | |
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