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It is a regular polygon as for example an equilateral triangle

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Q: What kind of polygon has all vertices lie on a circle?
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Related questions

What kind of polygon has all vertices on the circle?

inscribed polygon


A polygon within a circle all of whose vertices are on the circle is a?

A regular polygon


A polygon within a circle all of whose vertices are on the circle is an?

A regular polygon


What is a circumscribed polygon?

A circumscribed polygon is a polygon all of whose vertices are on the circumference of a circle. The circle is called the circumscribing circle and the radius of the circle is the circumradius of the polygon.


What is a polygon whose vertices lie on a circle?

A polygon which has a circumscribed circle is called a cyclic polygon.All regular simple polygons, all triangles and all rectangles are cyclic.


What is the name of a circle that lies outside of the triangle and passes through all vertices of the triangle?

The triangle that has all three vertices touching the circle is called an 'inscribed triangle.' The circle has no special name, only the polygon inscribed.


What is a polygon within a circle?

If you mean that all the vertices of the polygon touch the circle, it is called an inscribed polygon.You might also be thinking of a cyclic quadrilateral:see http://en.wikipedia.org/wiki/Cyclic_quadrilateral.


How do you determine number or vertices of a polygon?

You can dertimine a number of vertices a polygon has by counting all the dots around the shape


What is the center of a regular polygon?

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


What polygon has three vertices?

All triangles have 3 sides and 3 vertices


How many edges faces and vertices does a polygon have?

A polygon can have three or more edges and exactly the same number of vertices. All polygons have one face.


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.