Circumscribe
Pronunciation: /ˈsɜr.kəmˌskraɪb/ Explain
Click on the blue points and drag them to change the figure.
Try to change the figure so that the circumcenter is outside of the triangle. For what type of triangle does this happen.
 Manipulative 1  Circumscribed Triangle Created with GeoGebra. 

To circumscribe is to draw a
circle
around a
2dimensional
object or a
sphere
around a 3dimensional object that
intersects
all the
vertices
of the figure, but does not intersect any side.^{[1]}
A geometric figure is circumscribable if a circle can be
drawn that intersects all the vertices of the figure, but not does not intersect
any side.
See Circumscribing a Circle About a Triangle.
To inscribe is to draw a circle or sphere that is completely
inside another figure that intersects each side of the figure exactly
once.^{[2]}
See Inscribing a Circle in a Triangle.
A geometric figure is inscribable if a circle can
be drawn that intersects each side exactly once.

Click on the blue points and drag them to change the figure.
Can the incenter (point D) be outside the triangle? How do you know.
 Manipulative 2  Inscribed Triangle Created with GeoGebra. 

References
 McAdams, David E.. All Math Words Dictionary, circumscribe. 2nd Classroom edition 201501084799968. pg 34. Life is a Story Problem LLC. January 8, 2015. Buy the book
 Sampson, Charles H.. Mechanical Drawing and Practical Drafting. pg 10. www.archive.org. Milton Bradley Company. 1920. Last Accessed 6/25/2018. http://www.archive.org/stream/mechanicaldrawin00samprich#page/10/mode/1up/search/circumscribe. Buy the book
More Information
Cite this article as:
McAdams, David E. Circumscribe. 3/5/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/c/circumscribe.html.
Image Credits
Revision History
3/5/2019: Moved How To to More Information. (
McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (
McAdams, David E.)
6/25/2018: Removed broken links, updated license, implemented new markup, updated GeoGebra apps. (
McAdams, David E.)
1/11/2010: Added "References". (
McAdams, David E.)
11/27/2008: Added definitions for circumscribable and inscribable. (
McAdams, David E.)
7/1/2008: Changed figures to use GeoGebra. Added "how to" (
McAdams, David E.)
6/7/2008: Corrected spelling. (
McAdams, David E.)
4/23/2008: Initial version. (
McAdams, David E.)