 | Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...area of a circle is equal to ir if. HINT. A'=JC. .R = %.2irB.R = irR2. 563. Cor. II. The areas of two circles are to each other as the squares of their radii, or as the squares of their diameters. 564. Cor. HI. The area of a sector whose angle is a° is #. (See... | |
 | William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...area of a circle is equal to TT times the square of the radius. 495. COROLLARY 2. The areas of two circles are to each other as the squares of their radii or of their diameters. Discussion. Why is the circumscribed polygon used in the above theorem, while the... | |
 | William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 pages
...half the product of its circumference and its radius. C = 2 7TR. That is, But 466. The areas of two circles are to each other as the squares of their radii, or as the squares of their diameters. v' TrP ''* /? '^ 7}^ For 467. A sector of a circle is the figure... | |
 | William Betz, Harrison Emmett Webb - Geometry, Solid - 1916 - 214 pages
...approach the limit ca. 490. Two circumferences have the same ratio as their radii. 495. The areas of two circles are to each other as the squares of their radii or of their diameters. 499. Origin of Solid Geometry. It is claimed by ancient writers that geometry originated... | |
 | William Betz - Geometry - 1916 - 536 pages
...product of its circumference and its radius. That is, S = ±RC. But C = 2 irR. 466. The areas of two circles are to each other as the squares of their radii, or as the squares of their diameters. S _ irR* _ R'2 _ D2 S'~ For •n-R1' R1' 467. A sector of a circle... | |
 | John Charles Stone, James Franklin Millis - Geometry - 1916 - 298 pages
...1. — The area of a circle equals For A = RC= J \R x 2 -nR = 282. Corollary 2. — The areas of two circles are to each other as the squares of their radii, or as the squares of their diameters. For — = = ,= . a -n-r2 r* d? ' 283. A sector of a circle. —... | |
 | Samuel Edward Dibble - Plumbing - 1922 - 648 pages
...inches = 13.5405 \/area in square feet. Area in square feet = (diam. in inches)2 X 0.0054542 Areas of circles are to each other as the squares of their radii or diameters. Example. — Water .enters a tank by three pipes 2 in., 3 in., and 4 in. in diameter. What must be... | |
 | Raleigh Schorling, William David Reeve - Mathematics - 1922 - 460 pages
...Trr2. 549. Corollary 2. The area of a circle equals — • • 550. Corollary 3. The areas of two circles are to each other as the squares of their radii or as the squares of their diameters. EXERCISES 1. Draw a graph of the relation A = wr2, and show why... | |
 | William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 356 pages
...equal to half the product of its circumference and its radius. That is, But C = 466. The areas of two circles are to each other as the squares of their radii, or as the squares of their diameters. S- _ TrR2 _ R2 -_ D2 - - '-2 pitFor s' TrR'2 467. A sector of a... | |
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The areas of two circles are to each other as the squares of their radii ; or, as the squares of their diameters. 
