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 202
he length of the fence, and 10.595 rd.the distance from the center. PROBLEM 383.A circle containing- one acre is cut by another whose center is onthe circumference of the given circle, and the area common to both is\ acre: find the radius of the cutting- circle. Solution. (1) Designate by O the… … 188 FAIR CHILDS SOLUTION BOOK. (5) Put r=OA = ±( — W7.136 rd., radius of the 1st circle. (6) Put angle EAO = angle OEA=0. (7) Then angle EOA=tt—20. (8) Sector EOA:= ^ -, sector EAC = —~—, triangle EAO=iRrsin0. /en tu u ^2(tt-20) ,ttR20 Trr2 (9) Then we have ~ -\—5 %Krsmd=—r. (10) But R=2rco&6.…
Arithmetic · Geometry
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