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Math Help - find the radius with bisected chord

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    find the radius with bisected chord

    Find the radius of a circle with center at (4,1), if a chord of length 4 sqrt 2 is bisected at (7,4)
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    Quote Originally Posted by aeroflix View Post
    Find the radius of a circle with center at (4,1), if a chord of length 4 sqrt 2 is bisected at (7,4)
    start by making a sketch.

    draw a segment from the circle's center to the point of bisection ... use the distance formula to find the length of this segment.

    draw a radius from the center to one of the chord's endpoints.

    you should now have a right triangle ... radius is the hypotenuse.

    You have two of the three sides ... use Pythagoras.
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