Respuesta :

The equation of the circle is (x + 4)² + (y + 2)² = 9

Circle

Circle is the locus of a point such that the distance from a fixed point (center) is constant.

The standard equation of a circle is:

(x - h)² + (y - k)² = r²

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

From circle A, r is the distance from center(-4, -2) to (-1, -2):

r = √[(-2 - 2)² + (-1-(-4))²] = 3 units

Hence, the equation is:

(x - (-4))² + (y - (-2))² = 3²

(x + 4)² + (y + 2)² = 9

Find out more on circle at: https://brainly.com/question/24375372