No, they are not the same. A singularity would be inside a black hole.
Otherwise known as a Black Hole
Yes
A black hole is a star that has collapsed into a tiny point known as a singularity.
No the singularity is at the core of the black hole.
Not exactly. The singularity is in the center of the black hole. Somewhat like a peach pit is in the center of the peach but it isn't the peach but part of it.
If it had a radius, then it wouldn't be a singularity. The event-horizon surrounding a black hole has a radius, which depends on the black hole's mass. But the singularity itself has no radius.
A singularity is at the centre of a black hole.
Into the black hole's singularity.
singularity
There is no "behind" a black hole. A black hole is not a circular disk. The event horizon is spherical, with a singularity at the center. That singularity is an infinitely dense point.
All black holes have a singularity at their center. A singularity in a black hole is a location where the density of matter is infinite, at such a location physics equations give incomprehensible nonsense answers. (singularities occur in pure mathematics also, where for various reasons usable answers cannot be obtained from the equations: e.g. singular matrices)in Static and Charged black holes this singularity is an infinitesimal point.in Rotating black holes this singularity is a rapidly spinning ring.
Matter that enters a black hole is thought to all be concentrated in a point of infinite density in the center of the black hole called the singularity. In a rotating black hole, the singularity's shape is shown to be ring-shaped. The nature of the matter at the singularity is not fully understood, since the current laws of physics are inadequate to describe it; but the mass itself appears to be conserved per known laws of conservation.