If the Equation of a Circle is (x + 4)² + (y - 6)² = 25, its Center Point is? 

Solution:

We will be using the equation of a circle with a center point (h, k) to solve this.

Let us solve it step by step.

The equation of circle, with a center point (h, k) and radius (r) is (x − h)² + (y − k)² = r² .

Given that, (x + 4)² + (y - 6)² = 5² 

If you compare the both equations.

Center Point = (h, k) = (-4, 6) and radius (r) = 5

Thus, If the Equation of a Circle is (x + 4)² + (y - 6)² = 25, its Center Point is (-4, 6).

If the Equation of a Circle is (x + 4)² + (y - 6)² = 25, its Center Point is? 

Summary:

If the Equation of a Circle is (x + 4)² + (y - 6)² = 25, its Center Point is (-4, 6).