SOLUTION: 1 the points (1,4)and (-1,-4)are the end points of a diameter of a circle. Find the equation of the circle. Please show your work

Algebra ->  Trigonometry-basics -> SOLUTION: 1 the points (1,4)and (-1,-4)are the end points of a diameter of a circle. Find the equation of the circle. Please show your work      Log On


   

Question 1139309: 1
the points (1,4)and (-1,-4)are the end points of a diameter of a circle. Find the equation of the circle.
Please show your work
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
midpointx=%281-1%29%2F2=0

midpointy=%284-4%29%2F2=0

radiusSquared=((1/2)sqrt((1-(-1))^2+(4-(-4))^2))^2
radiusSquared=%281%2F4%29%28%284%29%2B%2864%29%29=68%2F4
radiusSquared=17

highlight%28x%5E2%2By%5E2=17%29