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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- Oct 15th 2010, 04:15 AMaeroflixfind 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)

- Oct 15th 2010, 04:25 AMskeeter
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.