The equation of a circle is given below. Identify the center and radius.

(x+5) ^2 + (y-1) ^2=4

The answer to your question is Center = (-5, 1) radius = 2

Step-by-step explanation:

Data

(x + 5) ² + (y - 1) ² = 4

Here we have the standard form of a circle. In the standard form, the center is represented as C (h, k). As the formula below

(x - h) ² + (y - k) ² = r²

Then,

h = - (5) = - 5

k = - (-1) = 1

and radius = r = 2 r² = 4

Conclusion

Center = (-5, 1) radius = 2