Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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


    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    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.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook