SOLUTION: Find an equation of the circle that satisfies the given conditions. (Give your answer in terms of x and y.) Center (4, −5) and passes through (9, 4)

Algebra ->  Coordinate-system -> SOLUTION: Find an equation of the circle that satisfies the given conditions. (Give your answer in terms of x and y.) Center (4, −5) and passes through (9, 4)      Log On


   

Question 572582: Find an equation of the circle that satisfies the given conditions. (Give your answer in terms of x and y.)
Center
(4, −5)
and passes through
(9, 4)
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the general equation for a circle is ___ (x - h)^2 + (y - k)^2 = r^2 ___ this is a circle centered at (h,k) with a radius of r

in this case, r is the distance between (4,-5) and (9,4)
___ by Pythagoras (the distance formula) ___ r^2 = (4 - 9)^2 + (-5 - 4)^2