# How do you find an equation of a circle passing through points (-6,-1) , (-4,3) , (2,-5)?

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#### Explanation

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Given 3 points

For equation 1

By expanding, we have

By solving further, we get...

To solve for equation 2

We let

Using the same method we did on equation 1, we get...

We can find the center by solving the 2 equations obtained by elimination method.

We now have the center of the circle

To solve for the radius, we use the distance formula and substitute the center and either of the three points

We now have the components of the circle.

By expanding the equation...

By combining like terms and solving, we get...

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