 | 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,... | |
 | Evan Wilhelm Evans - Geometry - 1862 - 116 pages
...XXIII), and the circle will be inscribed in the polygon (Def. 7, Sec. VIII). BOOK I. 47 THEOREM XXIX. The area of a circle is equal to half the product...circumference to be divided into equal arcs so small that the points of division may be regarded as infinitely near to each other, the perimeter of the regular... | |
 | 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,... | |
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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. 
