A circle has a center that falls on the line #y = 2/9x +8 # and passes through # ( 2 ,5 )# and #(1 ,4 )#. What is the equation of the circle?
1 Answer
Equation of the circle is
Explanation:
Given
Let (h, k) be the coordinates of the circle center.
Standard Equation of a circle is
Where (h,k) coordinates of the center and r the radius.
(2,5) & (1,4) are points on the circumference of the circle and hence
Solving Eqns (1), (2) we get the coordinates of the center.
Equation of the circle is