♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
First we need to find the distance between two points which is the diameter of the circle .
_________________________________
Suppose :
a = ( - 4 , 8 )
b = ( 4 , - 4 )
We have following equation to find the distance between two points.
Now just need to put the coordinates :
This is the diameter of the circle.
We know that :
So :
Divide sides by 2
Remember it.
_________________________________
To find the equation of the circle except the radius , we need the coordinates of the centre.
<em>The</em><em> </em><em>mid</em><em>point</em><em> of</em><em> the</em><em> </em><em>dia</em><em>meter</em><em> is</em><em> the</em><em> </em><em>ce</em><em>ntre</em><em> of</em><em> the</em><em> </em><em>ci</em><em>rcle</em><em> </em><em>.</em>
So we have to find the midpoint of the diameter .
Look :
This the coordinates of the centre.
_________________________________
Equation of the circle has a form like this :
In which :
_________________________________
Thus :
This is the equation of the circle .
And we're done....
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️