Q: A set of point that is equidistant to a fixed point called center?

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A circle is a plane figure consisting of a curve in which every point is equidistant from a fixed point called the center.

a globe.

A plane curve all equidistant from a given fixed point, the center.

That point which is equidistant from every point on the circumference. It's just called the center.

A circle.

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The center of the circle. That's how the circle is defined. (The collection of all points on a plane equidistant from a fixed point. The fixed point is the center and the fixed distance is the radius.)

A sphere is a solid figure in which every point is equidistant from a fixed point called the center.

A circle is a plane figure consisting of a curve in which every point is equidistant from a fixed point called the center.

A circle.

That set of points forms what is known as a "circle".

a globe.

a sphere

A plane curve all equidistant from a given fixed point, the center.

That point which is equidistant from every point on the circumference. It's just called the center.

A circle.

A circle is a closed curve where all points are equidistant from a fixed point called the center. It is a two-dimensional shape with no corners or edges.

A circle, or arc thereof.