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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.
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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.
What is the name of a smooth curved line around the outside of a regular polygon everywhere equidistant from the center?
what is the name of a smooth curved line around the outside of a regular polygon
How is an apothem different from a radius?
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.
How do you find out if the polygon of a circle is regular or not?
I assume you mean a polygon inscribed in a circle. It is regular if all its sides and angles are equal.
What is a true statement about a circle inscribed in a regular polygon?
The circle has a smaller area than the 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.
What is the name of a smooth curved line around the outside of a regular polygon everywhere equidistant from the center?
what is the name of a smooth curved line around the outside of a regular polygon
A polygon within a circle all of whose vertices are on the circle is an?
A regular polygon
A polygon within a circle all of whose vertices are on the circle is a?
A regular polygon
How is an apothem different from a radius?
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.
How do you find out if the polygon of a circle is regular or not?
I assume you mean a polygon inscribed in a circle. It is regular if all its sides and angles are equal.
Is the circle a REGULAR or irregular shape?
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.
A Polygon whose vertices are on a circle and whose other points are inside the circle?
Inscribed Polygon
What is a true statement about a circle inscribed in a regular polygon?
The circle has a smaller area than the polygon.
Is a semi circle a regular polygon?
No because a regular polygon has equal sides and equal interior angles
Different parts of a regular polygon?
A regular polygon has a center, much as a circle does. There are also the sides which are all the same lengths. Then there is the apothem which is any segment that goes from the center and is perpendicular to one of the polygon's side. Then angles are also parts and they are all the same. You might consider the perimeter a part and of course it is the sum of the sides.
Is a circle a regular shape or non regular shape?
A circle is non-polygon. Meaning it has a curved side. A circle has no sides. It is non-regular.
