Given the center of the circle as and the point through which the circle passes is
The equation of the required circle is given by,
Where h and k denotes the center of the circle and r denotes the radius of the circle.
As the circle passes through the point , then the radius of the circle is the distance between the points and
The distance between two points and is given by the formula,
Substitute the values of in equation (2) to determine the radius of the circle.
Substitute the values of in equation (1)
Thus the equation of the circle with center (2,2) and which passes through (4,5) is