Find the centre and radius of each of the following circles :
(x – 3)2 + (y – 1)2 = 9
The general form of the equation of a circle is:
(x - h)2 + (y - k)2 = r2
Where, (h, k) is the centre of the circle.
r is the radius of the circle.
Comparing the given equation of circle with general form we get:
h = 3 , k = 1, r2 = 9
⇒ centre = (3, 1) and radius = 3 units.
Ans: centre = (3, 1) and radius = 3 units.