SOLUTION: The points with cordinate is5,5) and (-3,-1)are the ends of a diameter of a circle center A.determine the cordinates of A and determine the equation of the circle e

Algebra ->  Coordinate-system -> SOLUTION: The points with cordinate is5,5) and (-3,-1)are the ends of a diameter of a circle center A.determine the cordinates of A and determine the equation of the circle e       Log On


   



Question 1115299: The points with cordinate is5,5) and (-3,-1)are the ends of a diameter of a circle center A.determine the cordinates of A and determine the equation of the circle e

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
CENTER point is wanted?
x, %285-3%29%2F2=1
y, %285-1%29%2F2=2

SQUARE of the radius, %285%2B3%29%5E2%2B%285%2B1%29%5E2=64%2B36=100

EQUATION of the circle, highlight%28%28x-1%29%5E2%2B%28x-2%29%5E2=100%29

Answer by ikleyn(52747) About Me  (Show Source):
You can put this solution on YOUR website!
.
The correct equation is 


%28x-1%29%5E2 + %28y-2%29%5E2 = 5%5E2,   or


%28x-1%29%5E2 + %28y-2%29%5E2 = 25.



The equation by @josgarithmetic is   I N C O R R E C T.


The radius of the given circle is 5 units; not 10.