# How do you write an equation for a circle with diameter are P(−2, 2) and Q(6, −6)?

##### 1 Answer

I guess you meant end points of the diameter are

#### Explanation:

First, you take out the midpoint of the line joining points

Let it be

( Using midpoint formula)

Since, the midpoint of a diameter is the centre of the circle, and standard coordinate of the centre is

We get

Then, take out the length of the diameter using distance formula,

Now,

radius

Now, we have

Let us substitute these in the standard equation of a circle,

This is our required equation.

Hope this helps :)

Pretty long one, though.