Answer:
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.