## Center

### Given point in center of circle

In geometry, the center refers to a point that is equidistant from all points on a given object, such as a circle or a sphere. The concept of a center is important in geometry because it allows us to define various properties of the object, such as its radius, diameter, and circumference.

For example, in a circle, the center is the point that is equidistant from all points on the circumference of the circle. The distance from the center to any point on the circumference is called the radius of the circle. The diameter of the circle is the distance across the circle passing through the center, which is twice the radius.

Similarly, in a sphere, the center is the point that is equidistant from all points on the surface of the sphere. The distance from the center to any point on the surface is called the radius of the sphere. The diameter of the sphere is the distance across the sphere passing through the center, which is twice the radius.

The concept of a center can also be extended to other geometric shapes, such as polygons and polyhedra, where the center is defined as the point of intersection of the object’s symmetries. For example, in a regular polygon, the center is the point of intersection of its diagonals, and in a regular polyhedron, the center is the point of intersection of its diagonals and its perpendicular bisectors.

##### More Answers:

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