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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.

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Q: What is a circumscribed polygon?
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How many vertices does a nanogonal has?

A nonagon has 9 vertices. It has internal angles of 140 degrees, and it is a regular polygon. The temples of Baha'i Faith are required to be nonagonal.


What is a 3D pentagon shape called?

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What are facts about the line of reflection?

Given a line L and a point P. Reflection P' of P in L is the point such that PP' is perpendicular to L, and PM = MP', where M is the point of intersection of PP' and L. In other words, P' is located on the other side of L, but at the same distance from L as P. P' is said to be a mirror or symmetric image of P in L. The line L is called the axis of symmetry or axis of reflection.P' exists for any P. Let's write SL(P) = P'. If P' = SL(P), then P is the reflection in L of P':P = SL(P'). So that repeated reflection does noting: it does not move a point. Formally,SL2 = I,Where I is the identity transform. SL(P) = P, iff P lies on L.The reflection transform SL applies to arbitrary shapes point-by-point. Each point of a given shape S is reflected in L, and the collection of these reflections is the symmetric image of S: SL(S). To determine SL(S) when S is a polygon, suffice it to reflect its vertices. This is exactly what has been done in the applet below.On the other hand, if S' is known to be a mirror image of S, then any pair of points P and P' not fixed by the reflection (P ≠ P'), the axes of reflection is uniquely determined as the perpendicular bisector of PP'.In the applet, you can create polygons with a desired number of vertices, drag the vertices one at a time, or drag the polygon as a whole. Axes of reflection can also be dragged. They rotate if dragged near the applet's border, or translate if dragged nearer their midpoint.

Related questions

What is circumscribed area and inscribed area of regular polygon?

circumscribed means the polygon is drawn around a circle, and inscribed means the polygon is drawn inside the circle. See related links below for polygon circumscribed about a circle and polygon inscribed in a circle.


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

Correct.


A circle drawn around a polygon so that each vertex of the polygon lies on the circle?

Circumscribed.


What is the difference between inscribed and circumscribed?

== == Inscribed is a polygon inside a circle with all points on a given point in the circle. Circumscribed is a circle inside a polygon with any given point touching just one point on the polygon. Hope this helped.


What is meant by a circle being circumscribed about a polygon?

It means drawing a circle around a polygon in such that each vertex of the polygon is on the circumference of the circle.


If a polygon X is inscribed in an object Y then what can be said about each?

The object Y must be circumscribed about the polygon X.


What is a polygon inside a circle?

When a polygon is within a circle and the circle touches each one of its corners it is referred to as circumscribed.


What is the radius of a polygon whose circumscribed circle has a diameter 16?

The radius is 8 units.


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.


Define a circumscribed triangle?

a circumscribed triangle is a circumscribed triangle and will always be


F a polygon X is inscribed in an object Y then what can be said about each?

-- 'Y' is circumscribed about 'X' -- The area of 'X' is less than the area of 'Y'.


How do you find the value of x on a polygon?

It depends very much on what x is. Whether it is a side or a diagonal or a radius of a circumscribing circle or circumscribed incircle, an apothem, an interior or exterior angle or some other measure. It also depends on the number of sides that the polygon has.