SOLUTION: find the radius of the circle passing through point (-2,10) and having a center at(4, -2). write an equation for the circle.

Algebra ->  Circles -> SOLUTION: find the radius of the circle passing through point (-2,10) and having a center at(4, -2). write an equation for the circle.      Log On


   

Question 389980: find the radius of the circle passing through point (-2,10) and having a center at(4, -2). write an equation for the circle.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

    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 

 (x-4)^2 + (y+2)^2 = r^2

finding r as  distance between points (-2,10) and (4, -2). 

 r^2 =  6^2  + (-12)^2 = 180    r = 13.4

    (x-4)^2 + (y+2)^2 = 180