SOLUTION: The diameter of Circle q terminates on the circumference of the circle at 3,0 and -4,0 . Write the equation of the circle in standard form. Show all of your work for full credit.

Algebra ->  Circles -> SOLUTION: The diameter of Circle q terminates on the circumference of the circle at 3,0 and -4,0 . Write the equation of the circle in standard form. Show all of your work for full credit.       Log On


   

Question 1182918: The diameter of Circle q terminates on the circumference of the circle at 3,0 and -4,0 . Write the equation of the circle in standard form. Show all of your work for full credit.



Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
The diameter of Circle q terminates on the circumference of the circle at
(3,0) and (-4,0)
use given points and distance formula to find diameter
d=sqrt%28%28-4-3%29%5E2%2B%280-0%29%5E2%29
d=sqrt%28%28-7%29%5E2%29
d=sqrt%2849%29
d=7
=> radius is r=7%2F2
now find coordinates of the center which is midpoint of diameter
(h,k)=(%283-4%29%2F2, 0)
(h,k)=(-1%2F2, 0)
the equation of the circle in standard form:
%28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2
%28x-%28-1%2F2%29%29%5E2%2B%28y-0%29%5E2=%287%2F2%29%5E2
%28x%2B1%2F2%29%5E2%2By%5E2=49%2F4