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What is the center of a regular polygon is the center of the included circle?

In a regular polygon, the center is the point that is equidistant from all vertices, and it serves as the center of the inscribed circle (incircle). This incircle is tangent to each side of the polygon, meaning it touches each side at exactly one point. The radius of this incircle is the distance from the center to any of these tangent points. Thus, the center of a regular polygon is also the center of the circle that fits perfectly inside it.


What is the special name for the segment that connects the center of a regular polygon to and outer edge to form the height of a triangle?

The segment that connects the center of a regular polygon to an outer edge, forming the height of a triangle, is called the "apothem." The apothem is perpendicular to the side of the polygon and is essential for calculating the area of the polygon. It is also the distance from the center to the midpoint of a side.


What is the center of a regular polygon?

the point that is equidistant from all vertices of a polygon.


Is the center of a regular polygon is the center of a inscribed circle?

Yes, the center of a regular polygon is indeed the center of its inscribed circle, also known as the incircle. In a regular polygon, all sides and angles are equal, and the incircle is tangent to each side at exactly one point. This means that the center of the polygon coincides with the center of the circle that fits perfectly within it, touching all sides.


In a regular polygon what is the name of the segment drawn from the center of the polygon to a side that is perpendicular to that side?

Apothem!

Related Questions

Do apothems of a regular polygon is the distance from the center of the polygon to one of the vertices?

No, it is the distance from the center of the polygon to the centre of one of its sides.


The distance from the center of a regular polygon to a side of the polygon?

A Apothem


The perpendicular distance from the center of a regular polygon to a side of the polygon?

Apothem


Segment from the center of a regular polygon perpendicular to a side?

That is called the apothem. The definition is: An Apothem is the distance from the center of a regular polygon to the midpoint of a side


Which word describes the perpendicular distance from the center to one of the sides of a regular polygon?

apothem


What is the center of a regular polygon is the center of the included circle?

In a regular polygon, the center is the point that is equidistant from all vertices, and it serves as the center of the inscribed circle (incircle). This incircle is tangent to each side of the polygon, meaning it touches each side at exactly one point. The radius of this incircle is the distance from the center to any of these tangent points. Thus, the center of a regular polygon is also the center of the circle that fits perfectly inside it.


What is the special name for the segment that connects the center of a regular polygon to and outer edge to form the height of a triangle?

The segment that connects the center of a regular polygon to an outer edge, forming the height of a triangle, is called the "apothem." The apothem is perpendicular to the side of the polygon and is essential for calculating the area of the polygon. It is also the distance from the center to the midpoint of a side.


The center of a regular polygon is the common center for the inscribed and circumscribed circles of the polygon?

Correct.


What is an apothem of a regular polygon?

An apothem is a line segment from the center of a regular polygon to the midpoint of a side.


What is the center of a regular polygon?

the point that is equidistant from all vertices of a polygon.


A regular pyramid has a base and vertex over the center of the base?

A regular pyramid has a regular polygon base and a vertex over the center of the base. By:Cherrylvr :)


Is the center of a regular polygon is the center of a inscribed circle?

Yes, the center of a regular polygon is indeed the center of its inscribed circle, also known as the incircle. In a regular polygon, all sides and angles are equal, and the incircle is tangent to each side at exactly one point. This means that the center of the polygon coincides with the center of the circle that fits perfectly within it, touching all sides.