Find an equation of the circle having the given center and radius.

Center ( - 1, 1), radius 7

(x+1) ^2 + (y+1) ^2 = 49

Step-by-step explanation:

We can write the equation of a circle as

(x-h) ^2 + (y-k) ^2 = r^2

where (h, k) is the center and r is the radius

(x - - 1) ^2 + (y - - 1) ^2 = 7^2

Simplifying

(x+1) ^2 + (y+1) ^2 = 49

(x+1) ^2 + (y-1) ^2=49

Step-by-step explanation:

The standard equation of a circle is

(x-h) ^2 + (y-k) ^2=r^2

where the center is (h, k) and r is the radius

so h=-1 and k=1 in this case

so then (x - - 1) ^2 + (y-1) ^2=7^2

(x+1) ^2 + (y-1) ^2=49