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Math Help - Please help me.

  1. #1
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    Please help me.

    A circular garbage can is wedged into a rectangular corner. the can has a diameter of 48cm. Find the exact distance from the corner point to the can (PA).

    P=corner
    A=the point of the outer part of the circle
    PA is the segment connecting this
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  2. #2
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    Quote Originally Posted by owningbro1 View Post
    A circular garbage can is wedged into a rectangular corner. the can has a diameter of 48cm. Find the exact distance from the corner point to the can (PA).

    P=corner
    A=the point of the outer part of the circle
    PA is the segment connecting this
    I've attached a sketch of the situation.

    I assume that the distance PA = x. If so:

    The radii and the 2 walls form a square with its side length = r.

    x + r = diagonal d of the square.

    Use Pythagorean theorem to calculate the diagonal:

    d = r \cdot \sqrt{2}

    x = d - r = r \cdot \sqrt{2} - r = r\left( \sqrt{2} - 1\right)
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