How do you find the equation of the circle passing through the points #P(x_1,y_1), Q(x_2,y_2), R(x_3,y_3)#?
How do you find the equation of the circle passing through the points #P(x_1,y_1), Q(x_2,y_2), R(x_3,y_3)# ?
How do you find the equation of the circle passing through the points
1 Answer
Please see below.
Explanation:
There are two ways of doing this.
First Method
Find the point of intersection of two perpendicular bisectors by solving their simultaneous equations to get the center and then its distance to any of the three points is radius.
If center is
Second Method
Solving them gives values of