algebra

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The radius of a large pizza is two times plus 3 inches larger than a small pizza. The area of the small pizza is 33 square inches less than the large pizza. What is the radius of the larger pizza?

  • algebra -

    Call the small pizza radius r and the large pizza radius R.

    R = 2r +3
    pi R^2 = pi r^2 -33
    = pi*(4r^2 + 6r + 9)

    3r^2 + 6r + (33/pi) +9 = 0

    Solve that quadratic for r.

    Are you sure the problem did not say
    "The area of the small pizza is 33 pi square inches less than the large pizza. " ?

    The answer would be easier to write down in that case, because the pi factors would cancel out

  • algebra -

    hk,hh

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