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A rounded figure that has all surface points equidistant from the center is a sphere. A common object that is a sphere is a tennis ball.

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A circle or a sphere

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Sphere

Q: A round figure who surface is at all points equidistant from the center?

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sphere

sphere

A circle is a round figure with all points equidistant from the center. Radii of equal length is the main defining characteristic of a circle.

A circle (2D) or a sphere (3D)

That would be a circle or a sphere. sphere.

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A circle

sphere

sphere

A circle is a round figure with all points equidistant from the center. Radii of equal length is the main defining characteristic of a circle.

A circle (2D) or a sphere (3D)

That would be a circle or a sphere. sphere.

On a sphere, all points on the surface are equidistant from the center.

A sphere would fit the given description.

if it's a circle, all points are equidistant from the center.

It depends on how many dimensions you are asking about. If you are talking about a 2-dimensional figure then it would be a circle. The definition of a circle is the collection of points that are equidistant from the center. If you are talking about a 3-dimensional figure, then it would be a sphere. The definition of a sphere is the collection of points in three dimensions that are equidistant from the center.

a circle

A sphere