Final answer:
The equation of a circle with a center at (-5, 1) and a radius of 3 is (x + 5)² + (y - 1)² = 9.
Step-by-step explanation:
The equation for a circle with a center at (−5, 1) and a radius of 3 can be written using the standard formula of a circle: (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius.
Here, (h, k) is (−5, 1) and r is 3. Substituting these values into the formula gives us the equation of the circle: (x - (-5))² + (y - 1)² = 3², which simplifies to (x + 5)² + (y - 1)² = 9. This is the required equation of the circle.