Draw the perpendicular bisectors of any two sides which are not directly opposite one another. These will meet at the centre of the circle.
If it has an even number of vertices, simply join two pair of opposite vertices. They will intersect at the centre of the circle.
what is the name of a smooth curved line around the outside of a regular polygon
Circumcenter - the center of the circle that circumscribes the triangle, ie. goes through all its vertices.
An apothem is a line drawn perpendicular to a side of a regular polygon from the center of the polygon. A polygon is not a circle so it cannot have a radius. The radius of a circle is drawn from the center to any point in the circumference of the circle. You can draw a circle which encloses the regular polygon touching all vertices. The polygon is said to be inscribed in the circle. The apothem will be less than the radius because the radius is not perpendicular to any side, it can be drawn to a vertex but the apothem is perpendicular to a side, so it is shorter. Ex: draw a square with a circle which inscribes it. You can see that the apothem will be less than the radius.
I assume you mean a polygon inscribed in a circle. It is regular if all its sides and angles are equal.
The circle has a smaller area than the polygon.
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what is the name of a smooth curved line around the outside of a regular polygon
8 the answer is 8
A regular polygon
A regular polygon
Circumcenter - the center of the circle that circumscribes the triangle, ie. goes through all its vertices.
An apothem is a line drawn perpendicular to a side of a regular polygon from the center of the polygon. A polygon is not a circle so it cannot have a radius. The radius of a circle is drawn from the center to any point in the circumference of the circle. You can draw a circle which encloses the regular polygon touching all vertices. The polygon is said to be inscribed in the circle. The apothem will be less than the radius because the radius is not perpendicular to any side, it can be drawn to a vertex but the apothem is perpendicular to a side, so it is shorter. Ex: draw a square with a circle which inscribes it. You can see that the apothem will be less than the radius.
I assume you mean a polygon inscribed in a circle. It is regular if all its sides and angles are equal.
The circle is an irregular shape because all of it is curved. * * * * * No. A circle is a regular shape. It is not a polygon and so cannot be a regular polygon but that does not prevent it from being a regular shape.
Inscribed Polygon
The circle has a smaller area than the polygon.
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