The difference between Center and Sum

Center as a noun:

The point in the interior of a circle that is equidistant from all points on the circumference.

Center as a noun:

The point in the interior of a sphere that is equidistant from all points on the circumference.

Center as a noun:

The middle portion of something; the part well away from the edges.

Center as a noun (geometry):

The point on a line that is midway between the ends.

Center as a noun (geometry):

The point in the interior of any figure of any number of dimensions that has as its coordinates the arithmetic mean of the coordinates of all points on the perimeter of the figure (or of all points in the interior for a center of volume).

Center as a noun (group theory, ring theory):

The subgroup (respectively, subring), denoted Z(G), of those elements of a given group (respectively, ring) G that commute with every element of G.

Center as a noun:

A place where the greater part of some function or activity occurs.

Center as a noun:

A topic that is particularly important in a given context.

Center as a noun (basketball):

The player, generally the tallest, who plays closest to the basket.

Center as a noun (ice hockey):

The forward that generally plays between the left wing and right wing and usually takes the faceoffs.

Center as a noun (American football, Canadian football):

The person who holds the ball at the beginning of each play.

Center as a noun (netball):

A player who can go all over the court, except the shooting circles.

Center as a noun (soccer):

A pass played into the centre of the pitch.

Center as a noun (rugby):

One of the backs operating in a central area of the pitch, either the inside centre or outside centre.

Center as a noun (architecture):

A temporary structure upon which the materials of a vault or arch are supported in position until the work becomes self-supporting.

Center as a noun (engineering):

One of the two conical steel pins in a lathe, etc., upon which the work is held, and about which it revolves.

Center as a noun (engineering):

A conical recess or indentation in the end of a shaft or other work, to receive the point of a center, on which the work can turn, as in a lathe.

Center as a noun (politics):

The ensemble of moderate or centrist political parties.

Center as an adjective:

Of, at, or related to a center.

Center as a verb (transitive):

To cause (an object) to occupy the center of an area.

Center as a verb (transitive):

To cause (some attribute, such as a mood or voltage) to be adjusted to a value which is midway between the extremes.

Center as a verb (transitive):

To give (something) a central basis.

Center as a verb (intransitive):

To concentrate on (something), to pay close attention to (something).

Center as a verb (engineering):

To form a recess or indentation for the reception of a center.

Sum as a noun:

A quantity obtained by addition or aggregation.

Sum as a noun (often plural):

An arithmetic computation, especially one posed to a student as an exercise (not necessarily limited to addition).

Sum as a noun:

A quantity of money.

Sum as a noun:

A summary; the principal points or thoughts when viewed together; the amount; the substance; compendium.

Sum as a noun:

A central idea or point.

Sum as a noun:

The utmost degree.

Sum as a noun (obsolete):

An old English measure of corn equal to the quarter.

Sum as a verb (transitive):

To add together.

Sum as a verb (transitive):

To give a summary of.

Sum as a noun:

The basic unit of money in Kyrgyzstan.

Sum as a noun:

The basic unit of money in Uzbekistan.

Sum as a pronoun (AAVE):