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Question 951654:  "Write the equation of the circle with center (4,-2) and containing the point (-4,13)" 
 Found 2 solutions by  josgarithmetic, lwsshak3: Answer by josgarithmetic(39630)      (Show Source): 
You can  put this solution on YOUR website! The radius is the distance from center (4,-2) to the given point (-4,13) on the circle.  Use the distance formula to find this.
 
 
In raw form according to Standard Form equation for a circle, 
 ; 
Simplify this and you have your needed result. 
 Answer by lwsshak3(11628)      (Show Source): 
You can  put this solution on YOUR website! Write the equation of the circle with center (4,-2) and containing the point (-4,13) 
*** 
Standard form of equation for a circle: (x-h)^2+(y-k)^2=r^2, r=radius, (h,k)=coordinates of center 
Solving for r^2 using coordinates of given point(-4,13) on the circle 
 (-4-4)^2+(13+2)^2=r^2 
64+225=r^2 
r^2=289 
equation: (x-4)^2+(y+2)^2=289 
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