 | Baltimore (Md.). Department of Education - Mathematics - 1924 - 182 pages
...apothem. b. The area of a circle equals ?rr2 (informal proof only). 4. The perimeters of two regular polygons of the same number of sides are to each other as their radii, or as their apothems. The treatment of the mensuration of the circle should be based on... | |
 | National Committee on Mathematical Requirements - Mathematics - 1927 - 208 pages
...triangles of equal bases and equal altitudes are equal. [74, cd] 22. The perimeters of two regular polygons of the same number of sides are to each other as their radii and also as their apothems. [83] * SOLID GEOMETRY In the following list the precise wording... | |
 | College Entrance Examination Board - Mathematics - 1920 - 108 pages
...Mathematics CD, Plane and Solid Geometry, is printed on page 1.] 1. Prove: The perimeters of two regular polygons of the same number of sides are to each other as the radii or the apothems of the polygons. 2. Prove: In any circle the perpendicular to a radius at its... | |
 | William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 356 pages
...proportional ? 2. Are the polygons mutually equiangular ? 452. COROLLARY 1. The perimeters of two regular polygons of the same number of sides are to each other as any two homologous sides ; and the areas of tivo regular polygons of the same number of sides are to... | |
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The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop. 
