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Math Help - Help rectangle in circle

  1. #1
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    Help rectangle in circle

    Please how do I find the max size that the RED rectangles in this circle can be?
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  2. #2
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    This seems like it should lead somewhere.

    1) Pick one red rectangle.

    2) Draw a radius to each of its two distant corners.

    3) Define the area of the rectangle as a function of the interior angle \theta so defined. Pretty obviously, 0 < \theta < \frac{\pi}{2}. The area of the rectangle is zero at either exteme.

    Now what?

    Other ideas?
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  3. #3
    No one in Particular VonNemo19's Avatar
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    Quote Originally Posted by wolfhound View Post
    Please how do I find the max size that the RED rectangles in this circle can be?
    I tink I would impose a coordinate system at the center of the circle such that x^2+y^2=1. This leaves a pile of ways to solve this problem.
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