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Exterior angle = 360/number of sides = 360/15 = 24 degrees.

Interior angle = 180 - Exterior angle = 180 - 24 = 156 degrees.

Angle at centre = Exterior angle = 24 degrees.

Exterior angle = 360/number of sides = 360/15 = 24 degrees.

Interior angle = 180 - Exterior angle = 180 - 24 = 156 degrees.

Angle at centre = Exterior angle = 24 degrees.

Exterior angle = 360/number of sides = 360/15 = 24 degrees.

Interior angle = 180 - Exterior angle = 180 - 24 = 156 degrees.

Angle at centre = Exterior angle = 24 degrees.

Exterior angle = 360/number of sides = 360/15 = 24 degrees.

Interior angle = 180 - Exterior angle = 180 - 24 = 156 degrees.

Angle at centre = Exterior angle = 24 degrees.

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What is the center of a regular polygon?

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


What are the properties of a regular polygon?

A regular polygon has several properties: All sides are equal in length. All angles are equal in measure. The sum of the interior angles is (n-2)180 degrees, where n is the number of sides. The sum of the exterior angles is 360 degrees. The diagonals, which are line segments connecting non-adjacent vertices, are congruent in length. The polygon has rotational symmetry, which means it can be rotated by a certain angle around its center to coincide with its original position.


How do you identify a regular polygon?

A regular polygon can be identified by its equal side lengths and equal interior angles. Each vertex of a regular polygon is equidistant from the center, making it symmetrical. Additionally, the number of sides determines the type of regular polygon, such as a triangle (3 sides), square (4 sides), or pentagon (5 sides). To confirm regularity, you can measure the sides and angles or use geometric properties.


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

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

Correct.


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

A Apothem


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.


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.


What is the center of a regular polygon?

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


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


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 :)


What are the properties of a regular polygon?

A regular polygon has several properties: All sides are equal in length. All angles are equal in measure. The sum of the interior angles is (n-2)180 degrees, where n is the number of sides. The sum of the exterior angles is 360 degrees. The diagonals, which are line segments connecting non-adjacent vertices, are congruent in length. The polygon has rotational symmetry, which means it can be rotated by a certain angle around its center to coincide with its original position.


What is the name of the segment that connects the center of a regular polygon to an outer edge?

It is an apothem line that connects the center of a polygon to the center of an outer side.


A line segment drawn from the center of a regular polygon perpendicular to a side of the polygon?

apothem


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

vertex