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
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