Write the equation of a circle centered at point a (5; -4) and passing through point B (0; -2)

The coordinates of the center of the circle and one of the points belonging to the circle are known.

For writing, we are missing the value of the radius, which we will find from the formula for finding the distance between two points:

O (5; -4), B (0; -2).

| OB | = ((0 – 5) ^ 2 + (-2 + 4) ^ 2) ^ (1/2) = (25 + 4) ^ (1/2) = 29 ^ (1/2);

Found the radius, then the equation of the circle will look like this:

(x – 5) ^ 2 + (y + 4) ^ 2 = 29.