# 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)#?

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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