To find the equation of a circle, we use the standard form of the circle’s equation, which is:
(x – h)2 + (y – k)2 = r2
Where:
- (h, k) is the center of the circle.
- r is the radius of the circle.
In your case, the center of the circle is given as (2, 3) and the radius is 3 units.
Thus, substituting these values into the equation:
- h = 2
- k = 3
- r = 3
The equation becomes:
(x – 2)2 + (y – 3)2 = 32
Which simplifies to:
(x – 2)2 + (y – 3)2 = 9
So the final equation of the circle is:
(x – 2)2 + (y – 3)2 = 9