CIRCUMSCRIBED POLYGON Meaning and
Definition
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A circumscribed polygon refers to a geometric shape that is surrounded or enclosed by a circle, in such a way that all its vertices touch the circumference of the circle. It is crucial to note that the circumscribing circle encompasses the entire polygon and not only a portion of it.
In detail, a circumscribed polygon is formed by connecting a series of straight lines or line segments, known as sides or edges, to create a closed figure. Each side of the polygon is a line segment that connects two consecutive vertices. These vertices are points where two sides meet.
To be classified as a circumscribed polygon, the shape must possess certain characteristics. Firstly, the vertices of the polygon should lie on the circumference of the circumscribing circle, meaning that the distance from each vertex to the center of the circle is equal. Additionally, the circumscribing circle must not intersect any of the sides of the polygon, ensuring that the circle fully encompasses the shape.
Circumscribed polygons are prevalent in various fields of study, including mathematics, geometry, and engineering. Their well-defined structure and relationship with circles make them valuable for calculations and analysis. The properties of circumscribed polygons enable mathematicians and engineers to determine various geometric measurements, such as angles, lengths, and areas. This concept becomes particularly useful when dealing with complex shapes, as circumscribing them with a circle simplifies calculations and aids in visual representation.
Etymology of CIRCUMSCRIBED POLYGON
The etymology of the word "circumscribed polygon" can be understood by breaking it down into its constituent parts.
1. Circumscribed: The word "circumscribed" comes from the Latin word "circumscribere", which is a combination of "circum" meaning "around" or "surrounding", and "scribere" meaning "to write" or "to draw". In geometry, when a polygon is said to be circumscribed, it means that a circle has been drawn around the polygon in such a way that the circle touches each vertex of the polygon.
2. Polygon: The word "polygon" originates from the Greek words "poly" meaning "many" and "gonia" meaning "angle". A polygon is a closed plane figure with straight sides, typically defined by its number of sides or angles.
