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"Space" is usually understood to be a 3-dimensional "volume", and in that sense,

there is no 'space' inside a circle.

A circle has "area", equal to (pi) times the square of the circle's radius.

Q: What is the term for the amount of space insid a circle?

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It is its surface area

Density

It is the amount of three dimensional space occupied by a 3-d shape.

Probably not. We use the term 'volume' to express the amount of space occupied by three-dimensional object.

An inscribed circle, possibly.

Related questions

It is its surface area

It is a measure of the amount of mass in a unit amount of space.

No non-fictional astronomical body know as black circle. If the question is meant to employ the term 'black hole' in space, what a black hole does is to exist.

surface area

Volume.

volume

Acting space is the amount of space on a stage or wherever you are performing you can use to perform on.

The amount of space that something occupies.

"volume"

Density

volume

Volume is the amount of 3-dimensional space occupied by an object