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John ties the leash of his dog to the corner of the doghouse. The dimensions of the dog house are 8ft x 8ft, and the leash is 10ft long. (hint: the chain is longer than the side of the dog house.)
a) About how many square feet can john's dog wonder?
b) If the dog walks in a circle, about how far can he walk?

  • math -

    make a sketch
    Label the doghouse with corners A, B, C, and D

    Can't the dog cover a semicircle with diameter 10 along AB and AD?
    Can't he also come around B and cover a quarter-circle with diameter of 2 ?
    Isn't the same thing possible at point D?

    I am sure you can take it from there.

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