SOLUTION: Find the equation of the circle that has the Center (-4, 6) passes thru P ( 1, 2 )

Algebra ->  Circles -> SOLUTION: Find the equation of the circle that has the Center (-4, 6) passes thru P ( 1, 2 )      Log On


   

Question 481168: Find the equation of the circle that has the
Center (-4, 6) passes thru P ( 1, 2 )
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Find the equation of the circle that has the

Center (-4, 6) passes thru P ( 1, 2 )

Standard Form of an Equation of a Circle is %28x-h%29%5E2+%2B+%28y-k%29%5E2+=+r%5E2

where Pt(h,k) is the center and r is the radius

%28x%2B4%29%5E2+%2B+%28y-6%29%5E2+=+r%5E2

D = sqrt+%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29%29

(-4, 6) 

( 1, 2 ) r =+sqrt%28%28-5%29%5E2+%2B+%284%29%5E2%29+=+sqrt%2841%29  R^2 = 41

%28x%2B4%29%5E2+%2B+%28y-6%29%5E2+=+41