 | Fletcher Durell - Geometry - 1911 - 553 pages
...sectors iu different circles which have equal angles at the center. PROPOSITION XIII. THEOREM 449. The area of a circle is equal to one-half the product of its circumference Iry its radius. Given a O with circumference denoted by 0, radius by B, and area... | |
 | George Clinton Shutts - 1905 - 260 pages
...from the center. Find the length of the chord joining the points of tangency. PROPOSITION XI. 380. Theorem. The area of a circle is equal to onehalf the product of its circumference and radius. Let 0 represent a circle, R its radius, C its circumference and A its... | |
 | Wisconsin. Department of Public Instruction - Education - 1906 - 124 pages
...areas of two circles have the same ratio as the squares of their radii or of their diameters. 124. The area of a circle is equal to one-half the product of the circumference by the radius. Cor. The area of a circle equals irR 2 . 125. To inscribe a square in a circle. 126. To inscribe a... | |
 | International Correspondence Schools - Building - 1906 - 634 pages
...ordinate is 80 feet; what is the length of the curve? Ans. 628 ft. AREAS BOUNDED BY CIRCULAR ARCS 77. The area of a circle is equal to one-half the product of its circumference and radius (Art. 67). This at once follows by considering the circle as an extreme... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...segments, and similar sectors are those which correspond to equal central angles. PROP. XIV. THEOREM 336. The area of a circle is equal to one-half the product of its circumference and radius. Given R the radius, C the circumference, and S the area of aO. To Prove... | |
 | Webster Wells - Geometry, Plane - 1908 - 208 pages
...segments, and similar sectors are those which correspond to squal central angles. PROP. XIV. THEOREM 336. The area of a circle is equal to one-half the product of its circumference and radius. Given R the radius, C the circumference, and S the area of aO. To Prove... | |
 | Geometry, Plane - 1911 - 192 pages
...limit of a variable. Prove that if two variables are always equal their limits are equal. Prove that the area of a circle is equal to one-half the product of its radius and circumference. 3. (a) In any quadrilateral, if a line be drawn through the middle points... | |
 | 1911 - 864 pages
...given equilateral triangles; (b) to the difference of two given equilateral triangles. 7. Prove that the area of a circle is equal to one-half the product of its circumference and radius. 8. If a pyramid is cut by a plane parallel to its base: (a) the lateral... | |
 | Education, Secondary - 1912 - 264 pages
...of many proofs in geometry. b). Is the topic one that an educated man should know? The area of any circle is equal to one-half the product of the circumference by the radius is a theorem that could not bo omitted because it is one that we should know. There is no question... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 336 pages
...difference between two given circles. arc su c 360 u .': arc s = • 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 O. Let c denote the circumference, r the radius, and A the area. To prove... | |
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The area of a circle is equal to one-half the product of its circumference and radius. 
