SOLUTION: Please help me with this equation. Find the equation for the circle with center (-5,4) and passing through (-4,-5) Thanks

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Please help me with this equation. Find the equation for the circle with center (-5,4) and passing through (-4,-5) Thanks      Log On


   



Question 690266: Please help me with this equation.
Find the equation for the circle with center (-5,4) and passing through (-4,-5)

Thanks

Found 2 solutions by solver91311, MathLover1:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


First, determine the measure of the radius using the distance formula with the two given points.



Then the equation of a circle centered at with radius is:



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Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
to find the equation for the circle with center
(-5,4)=(x,
y) and passing through the point
(-4,-5)=(x%5B1%5D,y%5B1%5D)

first find the radius squared:

radius = distance from center to the point:


passing through (-4,-5)=(x%5B1%5D,y%5B1%5D)
%28x-x%5B1%5D%29%5E2+%2B+%28y-y%5B1%5D%29%5E2+=82
%28x-%28-5%29%29%5E2+%2B+%28y-4%29%5E2+=+82+
%28x%2B5%29%5E2+%2B+%28y-4%29%5E2+=+82+