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A circular table is pushed into the corner of a rectangular room in such a way that it just touches two adjacent walls.An ant crawling on the table rim(on the minor arc between the two points of contact)observes that it is 8 inches from one wall and 1 inches from the other ,find the diameter of the table.

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  1. If you draw a diagram, and mark the spot on the rim, you can draw a radius to the point. That radius will be the hypotenuse of a triangle, such that

    (r-1)^2 + (r-8)^2 = r^2
    so, r=13

    Hence, the diameter is 26 inches

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    posted by Steve

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