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Thread: Semicircle

  1. #1
    la vache fantôme phantomcow2's Avatar
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    Semicircle



    A rectangle is inscribed in a semicircle of radius r, as shown in the figure, where r = {6**.
    Express the area A as a function of the height h of the rectangle using the given radius r of the circle.

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  2. #2
    Kicked out of the Webelos bluebottle1's Avatar
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    h x square root of 72

    But I could be wrong. Geometry was a long time ago....
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    Kicked out of the Webelos.

  3. #3
    riding once again jschen's Avatar
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    Draw some relevant line segments. That might help. Show what you've tried or thought about so far... it might help us help you.
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    Senior Member deraltekluge's Avatar
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    The area of the rectangle is 2*h*b

    Can you figure out what b is, in terms of h and r?

  5. #5
    Senior Member alainp's Avatar
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    Pythagorean Theorem: b^2 + h^2 = r^2
    Last edited by alainp; 07-15-08 at 11:28 PM.

  6. #6
    phony collective progress x136's Avatar
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    Find the area of the full circle, cut it in half, then figure that the rectangle is somewhat smaller in area than the semicircle, and make a semi-educated guess. Life is too short to worry too much about such things.

  7. #7
    Grumpy Member trsidn's Avatar
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    Quote Originally Posted by x136 View Post
    Find the area of the full circle, cut it in half, then figure that the rectangle is somewhat smaller in area than the semicircle, and make a semi-educated guess. Life is too short to worry too much about such things.
    yup

    they just eyeballed this....

    Quote Originally Posted by Mariah View Post
    Transcendental enumeration.

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