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Geometry question : PQ is a diameter of circle O. P = (-3, 17) and Q = (5, 2). Find the center and the radius of circle O. I have no clue how to do this. Any help is appreciated!
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Geometry question :

PQ is a diameter of circle O. P = (-3, 17) and Q = (5, 2). Find the center and the radius of circle O.

I have no clue how to do this. Any help is appreciated!

User Petschekr
by
8.1k points

1 Answer

4 votes
You have to use the midpoint formula, which is (x1+x2/2, y1+y2/2)

1. Plug in the coordinates

((-3 + 5)/2, (17 + 2)/2)

2. Solve the equation

(2/2, 19/2)

Center of the circle: (1, 9.5)
User Robert Li
by
8.5k points
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