The equation of a circle can be expressed in the standard form: (x – h)² + (y – k)² = r², where (h, k) is the center of the circle, and r is the radius.
Given the center of the circle at (3, 3) and a radius of 2, we can substitute these values into the equation:
- h = 3
- k = 3
- r = 2
Plugging these into the formula gives:
(x – 3)² + (y – 3)² = 2²
This simplifies to:
(x – 3)² + (y – 3)² = 4
So, the equation of the circle with center (3, 3) and radius 2 is (x – 3)² + (y – 3)² = 4.