Inscribed and Circumscribed Circles

OML Search

Examples, solutions, 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?

The following diagram shows how to construct a circle inscribed in a triangle. Scroll down the page for more examples and solutions on circumscribed and inscribed circles.

Inscribed Circle

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.

Mathway Calculator Widget

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

OML Search

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.