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 A circle centered at (0,-8) passes through the point (2,5). Find the equation of the circle. Write your equation in the form (x - h)^2 + (y- k)^2 = r^2.

 Feb 12, 2021
 #1
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r^2  =    (2 - 0)^2  +  (5 - - 8)^2   =  4 + 13^2  =   4 + 169  =  173

 

(h, k)  =  the coordinates of  the  center  = ( 0 ,  -8)

 

So.....the equation  is

 

( x - 0)^2  +  ( y - - 8)^2  =  173       simplify

 

x^2  + (y + 8)^2   =  173

 

 

cool cool cool

 Feb 12, 2021

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