Find the centre and radius of the circle $(x+5)^{2}+(y-3)^{2}=36$.

The circle $x^2 + y^2 - 8x + 4y + 4 = 0$ touches

The equation of a circle with centre $(-4, 3)$ and touching the circle $x^2 + y^2 = 1$ is

If the line $3x - 2y + 6 = 0$ meets the $X$-axis and $Y$-axis at points $A$ and $B$ respectively,then the equation of the circle with radius $AB$ and center at $A$ is

$ABC$ is a triangle in which angle $C$ is a right angle. If the coordinates of $A$ and $B$ are $(-3, 4)$ and $(3, -4)$ respectively,then the equation of the circumcircle of triangle $ABC$ is

If a circle passing through $(1, -2)$ has $x - y = 2$ and $2x + 3y = 14$ as its diameters,then the radius of the circle is