More Lessons for Grade 9

Math Worksheets

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

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.

Use the circumcenter, which is where the perpendicular bisectors intersect, to draw a circle that circumscribe a triangle.

Use the centroid, which is where the medians intersect, to draw a circle that circumscribe a triangle.

Tutorial on how to construct inscribed and circumscribed circles manually using pencil, paper, a straight edge, and a compass.

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You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.