 | George Washington Hull - Geometry - 1807 - 408 pages
...obtained only approximately. For practical purposes 3.1410 is used. PROPOSITION XI. THEOREM. 343. Tfie area of a circle is equal to half the product of its circumference by its radius. Given — S the area, C the circumference, and R the radius of a circle.... | |
 | Joseph Gwilt - Architects - 1842 - 1114 pages
...These three surfaces added together will give the whole surface of the figure ABCDFA. 933. PROP. LVI. The area of a circle is equal to half the product of its radius and circumference. A If the radius of the circle С (fig. 289.) be multiplied by Fig. 288. its circumference,... | |
 | Charles Davies - Geometry - 1850 - 218 pages
...hence, the area of the polygon will be equal to half the product of CD by the perimeter. THEOREM XXVII. The area of a circle is equal to half the product of the radius by the circumference. Let C be the centre of a circle : then will its area be equal to half... | |
 | Charles Davies - Geometry - 1886 - 340 pages
...hence, the area of the polygon will be equal to half the product of CD by the perimeter THEOREM XXV11. The area of a circle is equal to half the product of the radius by the c1rcumference. Let C be the centre of a circle : then will its area be equal to half... | |
 | George Roberts Perkins - Geometry - 1856 - 460 pages
...degree of approximation as may be desired. MEASURE OF THE CIRCLE AND OF ITS CIRCUMFERENCE. THEOREM XIII. The area of a circle is equal to half the product of the circumference into its radius. In effect, let us consider a series of regular circumscribed polygons,... | |
 | George Roberts Perkins - Geometry - 1860 - 472 pages
...of approximation as may be desired. MEASURE OF THE CIRCLE AND OF ITS CIRCUMFERENCE. k THEOREM XHI. The area of a circle is equal to half the product of the circumference into its radius. In effect, let us consider a series of regular circumscribed polygons,... | |
 | Adrien Marie Legendre - Geometry - 1863 - 464 pages
...increasing the number of sides, a still closer approximation may be had. PROPOSITION XIV. THEOEEM. The area of a circle is equal to half the product of its circumference and radius. Let 0 be the centre of a circle, 00 its radius, and A CDE its circumference... | |
 | James Robert Christie - Mathematics - 1866 - 428 pages
...the area of the triangle in which 6 = 124 feet, с = 16l-* feet, and A = 71° 12'. 8. Assuming that the area of a circle is equal to half the product of the radius and circumference, it is required to deduce the particular form, (1) in terms of the radius,... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...approximately. The letter ic, however, is used to symbolize its exact value. PROPOSITION XVI.— THEOREM. 42. The area of a circle is equal to half the product of its circumference by its radius. Let the area of any regular polygon circumscribed about the circle be... | |
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It follows, then, that the area of a circle is equal to half the product of its circumference and its radius. 
