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 197
PROBLEM 377.A horse is tethered from one corner of a square 20-acre field: howlong must the rope be so that it can graze over 20 acres outside the field? 182 FAIRCHILDS SOLUTION BOOK. (1) (2) Solution. Let AOCB be the field, and Othe point at which horse theis tied. Let R = OH, the radius or… … FIG. 63. (3) DOF= J of a circle, or a quad- rant, but the horse grazes over£ of a circle, or FED. (4) As f of a circle = 20 A., then there must be 6J A. in thequadrant DOF. (5) 26J A.=area of the circle. (6) R27r=area of the circle. (7) /. R27r=26f A., or 4266f sq. rd.* (8) R=36.85 rd., the length…
Arithmetic · Geometry
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