## Understanding the Equation of a Circle: (x-3)² + (y-2)² = 16

The equation (x-3)² + (y-2)² = 16 represents a circle in the standard form of the circle equation:

**(x - h)² + (y - k)² = r²**

Where:

**(h, k)**represents the**center**of the circle.**r**represents the**radius**of the circle.

### Finding the Center of the Circle

By comparing the given equation to the standard form, we can easily identify the center:

**h = 3****k = 2**

Therefore, the center of the circle represented by the equation (x-3)² + (y-2)² = 16 is **(3, 2)**.

### Visualizing the Circle

To visualize the circle, imagine a point at (3, 2) on a coordinate plane. This point represents the center of the circle. The radius of the circle is the square root of 16, which is 4.

You can then draw a circle with a radius of 4 units around the center point (3, 2).

This visual representation helps understand how the equation defines the circle's position and size on the coordinate plane.