How do you find the center and radius of the circle: # x^2 + y^2 – 10x + 6y + 18 = 0#?
2 Answers
Centre is
Explanation:
We must write this equation in the form
Where
So the equation is
Complete the squares so add 25 on both sides of the equation
=
Now add 9 on both sides
=
This becomes
So we can see that the centre is
centre :
radius :
Explanation:
The general equation of a circle:
whose centre is
We have,
Comparing with
So,
radius
i.e.
centre
i.e. centre