 | Mathematics - 1915 - 830 pages
...does not mix the student much with the limit idea. It is now possible to give a simple proof of the theorem : ' ' The area of a circle is equal to one-half the product of the lengths of the circumference and the radius." Let PC=perimeter of a circumscribed regular polygon.... | |
 | Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...arc s is intercepted by a central angle of u degrees the length of the arc is — TTd. 360 § 497. Theorem. The area of a circle is equal to one-half the product of the circumference by the radius. § 498. Theorem. The area of any circle is equal to 7Tr2. § 499. Theorem. The area of any circle is... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...the difference between two given circles. arc su c 360 u .-. arc s= • i u c = • ird. 360 360 497. Theorem. The area of a circle is equal to one-half the product of the circumference by the radius. Given a circle with center 0. Let c denote the circumference, r the radius, and A the area. To prove... | |
 | Matilda Auerbach, Charles Burton Walsh - Geometry, Plane - 1920 - 408 pages
...diameter is constant. Cor. 2. In any circle c = 2irr. 63. The value of ir is approximately 3.14159. 64. The area of a circle is equal to one-half the product of its radius and its circumference. Cor. 1. The area of a circle is equal to IT times the square of its... | |
 | Julius J. H. Hayn - Geometry, Plane - 1925 - 328 pages
...other. 5. The areas of similar polygons are to each other as the squares of any two homologous sides. 6. The area of a circle is equal to one-half the product of its radius by its circumference. "P Series" of propositions, depending on one or more of A, B, C, D,... | |
 | Georgia. Department of Education - Education - 1917 - 584 pages
...two similar triangles are to each other as the squares of any two homologous sides. 5. Demonstrate: The area of a circle is equal to one-half the product of its circumference by its radius. EXAMINATION QUESTIONS, AUGUST 4, 1916. Primary and General Elementary... | |
 | Georgia. Department of Education - Education - 1919 - 648 pages
...their areas are to each other as the products of the sides including the equal angles. Demonstrate: The area of a circle is equal to one-half the product of its circumference by its radius. Ⅰ 且 ム Ⅰ 血 皿 耳 ' ⅠⅠA 皿 ATIOⅡqⅠ 日 8T1OⅠ... | |
 | University of the South - 1906 - 204 pages
...adjacent sides. 5. Two similar triangles are to each other as the squares of their homologous sides. 6. The area of a circle is equal to one-half the product of its circumference and radius. AMERICAN HISTORY. 1. Describe the beginning of the colonization of Virginia.... | |
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The area of a circle is equal to one-half the product of its circumference and radius. 
