Given the equation (x - 1) ^ 2 + (y + 20) ^ 2 = 196 identify the center and radius

Answer & Step-by-step explanation:

In order to solve this problem, it is important that we know the original form of this equation.

(x - x1) ² + (y - y1) ² = r²

The equation we are given is: (x - 1) ² + (y + 20) ² = 196

Now that we know the original equation and the given equation, then we can conclude that the center of the circle is (1, - 20). We can find the radius by calculating the square root of 196.

√196 = 14

So, the radius is 14.

Now, based on the given information, we know that the center of the circle is (1, - 20) and the radius of the circle is 14.