X² - 6x + y² + 2y = -1
find center & Radius

The answer to your question is Center = (3 , -1), radius = 3

Step-by-step explanation:

Equation

                       x² - 6x + y² + 2y = -1

-Process

1.- Leave a space between the like terms

                     x² - 6x           + y² + 2y          = -1

2.- Divide the middle term of each group by 2 and write the result to the power of 2 in both sides of the equation.

                     x² - 6x + (3)² + y² + 2y + (1)² = -1 + 3² + 1²

3.- Simplification

                     x² - 6x + 9 + y² + 2y + 1 = -1 + 9 + 1

4.- Factor

                     (x - 3)² + (y + 1)² = 9

5.- Find the center and the radius

     Center = (3 , -1)

     Radius = √9 = 3

circumference divided by 3.141592654 then timesthe radius twice

step-by-step explanation:

circumference divided by 3.141592654 then timesthe radius twice