SOLUTION: How do I write the standard form equation for the circle with center (5,-4) and a point on the circle (1,1)?

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Question 1036820: How do I write the standard form equation for the circle with center (5,-4) and a point on the circle (1,1)?


Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
Center (h,k), radius r, standard form cirlce equation . The radius is how far is any point on the circle to the center. The DISTANCE FORMULA gives the radius, r.

----------simplify this.

Answer by ikleyn(52802)   (Show Source): You can put this solution on YOUR website!
.
How do I write the standard form equation for the circle with center (5,-4) and a point on the circle (1,1)?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

It is 

 = ,     or

 = ,

where  is the radius of the circle.

To find the radius, calculate the distance from the center to the point.

It is  =  =  = .

So, yours equation is 

 = .


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