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A Polygon whose vertices are on a circle and whose other points are inside the circle?
Inscribed Polygon
When constructing inscribed polygons how can you be sure the figure inscribed is a regular polygon?
when constructing parallel lines with a compass and straightedge, how should you start the construction
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.
When constructing inscribed polygons how can you be sure the figure insrxibes is a regular polygon?
Each side will be equal in length
What is A polygon that is not regular?
its a not regular polygon
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.
How is the inscribed circle and circumscribed circle alike?
The inscribed circle and circumscribed circle of a polygon are alike in that both are defined relative to the polygon's vertices and sides. The inscribed circle, or incircle, touches each side of the polygon at one point, while the circumscribed circle, or circumcircle, passes through all the vertices. Both circles are essential in understanding the geometric properties of the polygon and are centered around the same point in regular polygons. Additionally, they are crucial for calculating various measurements, such as area and radius.
What are the names of three radii?
The three radii of a circle are typically referred to as the radius itself, which is the distance from the center to any point on the circle. However, if you mean specific terms related to radii, they can be categorized as the circumradius (radius of the circumscribed circle), inradius (radius of the inscribed circle), and apothem (the radius of a circle inscribed in a regular polygon). Each of these plays a distinct role in geometry and calculations involving circles and polygons.
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.
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.
What does this mean when a circle is inscribed in a regular polygon?
Nothing particular. One of the properties of regular polygons - however many sides - is that it can have a circle inscribed in it.
Are all circles regular polygons?
A circle is not a polygon, so no.
When constructing inscribed polygons how can you be sure the figure inscribed is a regular polygon?
when constructing parallel lines with a compass and straightedge, how should you start the construction
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.
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.
When constructing inscribed polygon?
When constructing an inscribed polygon, you begin by drawing a circle, which will serve as the circumcircle for the polygon. Next, evenly divide the circumference of the circle into the desired number of equal segments, corresponding to the number of sides of the polygon. Finally, connect these points with straight lines to form the inscribed polygon, ensuring that each vertex lies on the circumference of the circle. This method guarantees that the polygon is both regular and symmetrical.
