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Chuck the llama is tied to the corner of a 2m  by 3m shed on a 4m leash. How much area (in square meters) does Chuck have in which to play if he can go only around the outside of the shed?

 

 Nov 13, 2020
 #1
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area = 13pi + pi/4 = 41.626 m2

 Nov 13, 2020
 #2
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Chuck will have 3/4 of the area of a circle of radius 4        3/4 pi (4)^2 = 12 pi

    PLUS  one quarter circle of radius 2     1/4 pi(2)^2 = pi                

      PLUS   one quarter circle of radius 1    1/4 pi (1)^2 = pi/4                    total = (13 1/4) pi = 41.63 m2

 Nov 14, 2020

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