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Inscribed and Circumscribed Circles




 
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More Lessons for Grade 9

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Videos, worksheets, games and activities to help Geometry students learn about inscribed and circumscribed circles.

How to construct Inscribed and Circumscribed Circles using incenter, circumcenter, or centroid?

Circumscribed and Inscribed Circles
A circle is circumscribed about a polygon if the polygon's vertices are on the circle. For triangles, the center of this circle is the circumcenter.
A circle is inscribed a polygon if the sides of the polygon are tangential to the circle. For triangles, the center of this circle is the incenter. Circumscribed and inscribed circles show up a lot in area problems.

Circumscribe & Inscribe Basics 1
This instructional video describes the basic concept of Circles, Triangles, and Squares that Circumscribe and inscribe each other.
Use the incenter, which is where the angle bisectors intersect, to draw a circle that circumscribe a triangle.
Circumscribe & Inscribe Basics Part 2
Use the circumcenter, which is where the perpendicular bisectors intersect, to draw a circle that circumscribe a triangle.



Circumscribe & Inscribe Basics Part 3
Use the centroid, which is where the medians intersect, to draw a circle that circumscribe a triangle.
How to Draw Inscribed and Circumscribed Circles
Tutorial on how to construct inscribed and circumscribed circles manually using pencil, paper, a straight edge, and a compass.


 

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