## Understanding the Equation: (x+4)² + (y-10)² = 169

This equation represents a **circle** in the **Cartesian coordinate system**. Let's break down why:

### The Standard Form of a Circle Equation

The standard form of a circle's equation is:

**(x - h)² + (y - k)² = r²**

Where:

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

### Analyzing our Equation

Comparing our equation **(x+4)² + (y-10)² = 169** to the standard form, we can identify:

**Center (h, k):**(-4, 10)**Radius (r):**√169 = 13

### Interpreting the Results

This means our equation represents a circle with:

**Center:**Located at the point (-4, 10) on the coordinate plane.**Radius:**Measuring 13 units.

### Visualizing the Circle

You can visualize this circle by plotting the center (-4, 10) and then drawing a circle with a radius of 13 units around it.

### Key Takeaways

Understanding the standard form of a circle equation allows us to quickly determine its center and radius, making it easier to visualize and work with circles in various applications.