<![CDATA[How to calculate the largest circle contained in a polygon?]]>
https://help.geogebra.org/topic/how-to-calculate-the-largest-circle-contained-in-a-polygon_1
Sun, 26 Feb 2017 22:24:21 +0000Thu, 23 Feb 2017 10:50:34 +0000Zend_Feed<![CDATA[Not all polygons can have an inscribed circle. If such a circle exists, its center (incenter) is the intersection point of all the interior angle bisectors. So use the GeoGebra tools to check whether such a circle exists, and create its center.]]>
https://help.geogebra.org/topic/how-to-calculate-the-largest-circle-contained-in-a-polygon_1#comment-213722
Thu, 23 Feb 2017 12:26:47 +0000<![CDATA[If the polygon is a quadrilateral, you can check if such a circle exists by adding the length of two opposite sides: if the two sums are equal, an incircle exists.]]>
https://help.geogebra.org/topic/how-to-calculate-the-largest-circle-contained-in-a-polygon_1#comment-213724
Thu, 23 Feb 2017 12:26:19 +0000<![CDATA[Not all polygons can have an inscribed circle but there is ever an internal circle with maxima area. this circle is not unique: a rectangle has infinite circles with maxima area so I think your request is not possible saludos]]>
https://help.geogebra.org/topic/how-to-calculate-the-largest-circle-contained-in-a-polygon_1#comment-213728
Thu, 23 Feb 2017 13:22:56 +0000<![CDATA[Simona, I am not looking for an inscribed circle... I am looking for a largest circle. mathmagic, you are right that largest circle is not unique. So, is it possible to find at least one of the largest circles?]]>
https://help.geogebra.org/topic/how-to-calculate-the-largest-circle-contained-in-a-polygon_1#comment-213732
Thu, 23 Feb 2017 14:09:11 +0000<![CDATA[hello you can try this: create all triangles with sides over sides of polygon. then create the inscribed circle for each triangle. select the circle with minimum radius (perhaps you must test if the circle is inside the polygon) I think that the maximum circle has three points or more in the polygon so it is an inscribed circle in some triangle created with sides of polygon PD: I have tryed it and it does not work well in all cases. I will continue thinking]]>
https://help.geogebra.org/topic/how-to-calculate-the-largest-circle-contained-in-a-polygon_1#comment-213736
Thu, 23 Feb 2017 15:24:42 +0000<![CDATA[Only as draft-idea for an solution with approximation Klick animation to ON]]>
https://help.geogebra.org/topic/how-to-calculate-the-largest-circle-contained-in-a-polygon_1#comment-213738
Thu, 23 Feb 2017 15:29:21 +0000<![CDATA[Sorry, lost in translation :( I've read Incircle, so I thought about inscribed circle]]>
https://help.geogebra.org/topic/how-to-calculate-the-largest-circle-contained-in-a-polygon_1#comment-213740
Thu, 23 Feb 2017 15:11:04 +0000<![CDATA[marvelous work better we use convex polygons ]]>
https://help.geogebra.org/topic/how-to-calculate-the-largest-circle-contained-in-a-polygon_1#comment-213742
Thu, 23 Feb 2017 15:37:59 +0000<![CDATA[I think I have advanced to convex polygons https://www.geogebra.org/m/uKWRyFw4 saludos]]>
https://help.geogebra.org/topic/how-to-calculate-the-largest-circle-contained-in-a-polygon_1#comment-213762
Thu, 23 Feb 2017 19:24:31 +0000<![CDATA[I think I have advanced to convex polygons the method is described in my first post https://www.geogebra.org/m/uKWRyFw4]]>
https://help.geogebra.org/topic/how-to-calculate-the-largest-circle-contained-in-a-polygon_1#comment-213764
Thu, 23 Feb 2017 19:26:55 +0000<![CDATA[I just found a similar question in StackOverflow, for the special case of a convex polygon: http://stackoverflow.com/q/... I have to read and understand it.]]>
https://help.geogebra.org/topic/how-to-calculate-the-largest-circle-contained-in-a-polygon_1#comment-213884
Sat, 25 Feb 2017 18:59:41 +0000<![CDATA[The animation looks very nice. Can you explain how this works?]]>
https://help.geogebra.org/topic/how-to-calculate-the-largest-circle-contained-in-a-polygon_1#comment-213886
Sat, 25 Feb 2017 19:09:52 +0000<![CDATA[I did this it is slow because the lists are long. I reduced the lists as much as possible. https://www.geogebra.org/m/zmX8NYTc it works fine in desktop saludos]]>
https://help.geogebra.org/topic/how-to-calculate-the-largest-circle-contained-in-a-polygon_1#comment-213992
Sun, 26 Feb 2017 22:32:26 +0000<![CDATA[Fantastico... :)]]>
https://help.geogebra.org/topic/how-to-calculate-the-largest-circle-contained-in-a-polygon_1#comment-213996
Sun, 26 Feb 2017 22:24:25 +0000