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Construct Circumscribed Circle

Construct Circumscribed Circle
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2015-02-04 00:00
CirclePolygonGeometric Construction
In collections Circle Constructions
This example demonstrates how to construct a circumscribed circle through three non-collinear points. Core math concepts include circle, polygon, and coordinate geometry. Construction highlights: use Point command to create points A, B, C, Polygon command to form triangle poly1, calculate circumcenter using c=a+b, and draw the circumcircle. Suitable for high school mathematics teaching on the construction of a circumcircle of a triangle.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Point(xAxis) → C
  3. Polygon(A, B, C) → poly1, c, a, b

AI Drawing Prompt Reference

Draw a triangle using three non-collinear points, then construct its circumcircle. First, mark three points, then form a triangle with these points. Next, calculate the circumcenter of the triangle, and finally draw a circle with the circumcenter as the center and the distance from the circumcenter to any vertex as the radius.
The prompt above was compiled from the original drawing commands and is for reference only.