SOLUTION: Find the equation of a circle with center at (3,-1) passing through the point (8,-11).

Question 502987: Find the equation of a circle with center at (3,-1) passing through the point (8,-11).
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the general equation of a circle.

Plug in and (since the center is the point (h,k) ).

Plug in and (this is the point that lies on the circle, which is in the form (x,y) ).

Combine like terms.

Square each term.

Add.

So because , , and , this means that the equation of the circle with center (3,-1) that goes through the point (8,-11) is

.

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