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Find the coordinates of the center of the circle below.  Enter your answer as an ordered pair.

 

 Feb 21, 2024
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Connent the adjecent points together to form a chord. In a cricle the radius is a perpendicular bisector of a chord, therefore:
\(A=(-3,-4)\\ B=(3,-4)\\ C=(3,4)\\ \text{we need to find: } O=(x,y)\)

Now perp bisector of 

\(\overline {AB} \text{ is } x=0\\ \overline{BC}\text{ is } y=0\)
\(x=0 \text{ and } y=0 \text{ meet at:}\\ \boxed{(0,0)}\)

 Feb 22, 2024

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