1. ## 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)

2. Originally Posted by aeroflix
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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# find the radius of a circle with center at (4 1) if a chord of length 4 is bisected at (7 4)

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