A complete and practical solution book for the common school teacher (1899)
Fairchild, J[ohn] T[heodore] [from old catalog] · Crawfis College, Ohio, The author · leaf 194
in rods of each of these circles? Solution. (1) Draw three equal circles to touch each other externallyand join the three centersABC, thus forming an equi-lateral triangle. (2) Let R represent the radius of the three equal circles;then it is obvious that eachside of the triangle is equalto 2R. (3)… … FIG. 58. TrR (5) The area of the whole triangle is ■R2 2 160. (6) But the area of the equilateral triangle is R2j/8. (Fig. 38.)■R* (7) .\ R»V3 = (8) R*= 2320 f 160, or R*(2v/3— tt)=320.320 2V3—3.1416 0.3225(9) .. R = 31.48+rd. 992.248. PROBLEM 372. Find the length of the longest and shortest chords…
Arithmetic · Geometry
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