 S' denote the areas of two circles, R and R' their radii, and D and D' their diameters. Then, I . 5*1 = =»!. That is, the areas of two circles are to each other as the squares of their radii, or as the squares of their diameters.  General Mathematics - Page 432by Raleigh Schorling, William David Reeve - 1922Full view - About this book
 | Frank H. Hall - Arithmetic - 1899 - 456 pages
...SQUARES OF OTHER MAGNITUDES. The areas of two squares are to each other as the squares of their lengths. The areas of two circles are to each other as the squares of their diameters. Observe that the ratio of the areas of the above squares is f (or |). But the area... | |
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...are R and R', and diameters D and D', respectively. Then, | = "* § = ££ = £• <§337> That is, the areas of two circles are to each other as the...their radii, or as the squares of their diameters. 339. Let s be the area, and c the arc, of a sector of a O, whose area is S, circumference C, and radius... | |
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 | Webster Wells - Geometry, Plane - 1908 - 208 pages
...diameters D and D', respectively. Then, 8 ^ R2 and 2-t = t*"^ = ^- (§ 337) That is, the areas oftwo circles are to each other as the squares of their radii, or as the squares of their diameters. 339. Let s be the area, and c the arc, of a sector -of a 0, whose area is S, circumference (7, and... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...their apothems. 434. The areas of regular polygons of the same number of sides are in the same ratio as the squares of their radii, or as the squares of their apothems. 435. The area of a regular polygon is equal to half of the product of its perimeter and its... | |
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