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Calculus optimization problem

  1. Dec 20, 2003 #1
    What is the area of the largest rectangle that can be inscribes indiside a semicircle with the radius r?

    answer: x = r / SQRT(2)
    A = r^2
     
  2. jcsd
  3. Dec 20, 2003 #2
    Is there a question here?
     
  4. Dec 20, 2003 #3
    How do you ge the answer?
     
  5. Dec 20, 2003 #4
    How did YOU get the answer?
     
  6. Dec 20, 2003 #5

    Hurkyl

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    Well, if you know one side of a rectangle inscribed in a semicircle, can you figure out the other side?
     
  7. Dec 20, 2003 #6
    What Hurkyl's getting at is:

    Draw the semicircle. Draw a rectangle inside it, call one side h, call the other side w, call the radius r.

    Now find a relationship that lets you eliminate either h or w. In other words, express h as a function of w, or w as a function of h.
     
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