



 
Lachlan, For a I got ratio of the area that the goat can graze to the area of the paddock to be π/16 which is 19.63%. Since our answers agree in part a I expect we made the same calculation. You can use the same idea for part b. This time you don't know the length of the rope so call it r m. The region that the goat can graze is then a quarter circle of radius r. Write an expression for the area of one quarter of a circle of radius r and set it equal to one half the area of the paddock. Solve this for r. Penny  


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