The equation of this circle is; (x - 3)² + (y + 8)² = 5²
The general form of equation of a Circle is;
(x - a)² + (y - b)² = r²
where;
(a, b) represents the center of the circle
r is the radius.
The circle has its' center at (3, -8) and one of its points is at (-2, -8). Thus;
Radius = √[(-8 - (-8))² + (-2 - 3)²
Radius = √25
r = 5
Thus, equation of this circle is; (x - 3)² + (y + 8)² = 5²
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