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Math Help - Maxima / Minima - Shortest & Longest distance to a Circles

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    Maxima / Minima - Shortest & Longest distance to a Circles

    Given the circle having the equation x^2 + y^2 = 9, find a.) The shortest distance from point (4,5) to a point on the circle, and b.) The longest distance from the point (4,5) to a point on the circle.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by ^_^Engineer_Adam^_^ View Post
    Given the circle having the equation x^2 + y^2 = 9, find a.) The shortest distance from point (4,5) to a point on the circle, and b.) The longest distance from the point (4,5) to a point on the circle.
    The point (4,5) is a distance sqrt(41) from the origin which is the centre of
    the given circle.

    The radius of the given circle is 3, thefore the shortest distance is sqrt(41)-3,
    and the greatest distance is sqrt(41)+3.

    (Draw a diagram to see how this works).

    RonL
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