Question 1187847
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Write the equation of the circle centered at (−7,−2) that passes through (13,−15).
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<pre>
The distance between the points is


    {{{sqrt((13-(-7))^2 + ((-15)-(-2))^2)}}} = {{{sqrt(20^2 + 13^2)}}} = {{{sqrt(569)}}}.


Therefore, the equation of the circle in standard form is


    {{{(x-(-7))^2}}} + {{{(y-(-2))^2}}} = 569

or

    {{{(x+7)}}} + {{{(y+2)^2}}} = 569.
</pre>

Solved.


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The equation in the post by @josgarithmetic is INCORRECT.


For your safety, ignore his post.