SOLUTION: The horse is tethered to a rope, at one end of a square corral(outside the corral) 10 feet on a side. The horse can graze at a distance of 18feet from the corner of the corral wher

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: The horse is tethered to a rope, at one end of a square corral(outside the corral) 10 feet on a side. The horse can graze at a distance of 18feet from the corner of the corral wher      Log On


   

Question 136129: The horse is tethered to a rope, at one end of a square corral(outside the corral) 10 feet on a side. The horse can graze at a distance of 18feet from the corner of the corral where the rope is tied. What is the total grazing area of the horse.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
SETTING UP THIS PROBREM WITH 4 PARTIAL CIRCLES.
ONE A SEMICIRCLE OF RADIUS 18 FT.
ONE QUARTER CIURCLE OF RADIUS 18 FT.
AND 2 QUARTER CIRCLES OF RADIUS 8 FT.
AREA=PI*R^2
.5*3.14*18^2=508.68 FT^2
.25*3.14*18^2=254.34 FT^2
2*.25*3.14*8^2=100.48 FT^2
TOTAL AREA IS:
508.68+254.34+100.48=863.5 FT^2 ANSWER.