Find the radius and center of the circle given by the equation below. (x – 6)2 + (y + 4)2 = 7

Center (6 , -4) and radius  √7.

Step-by-step explanation:

Given  : (x – 6)² + (y + 4)² = 7

To find  : Find the radius and center of the circle .

Solution : We have given that (x – 6)² + (y + 4)² = 7

We can write this equation as (x – 6)² + (y + 4)² = (√7)².

Standard form of circle (x – h)² + (y - k)² = (r)².

Where, (h , k) center coordinates , r  =radius .

On comparing with standard equation :

h = 6, k = -4 and r = √7.

Therefore, Center (6 , -4) and radius  √7.

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.