# Definition:Circumscribe

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## Definition

### Circle around Polygon

A circle is **circumscribed around** a polygon when its circumference passes through each of the vertices of that polygon:

### Polygon around Circle

A polygon is **circumscribed around** a circle when each of its sides is tangent to the circumference of the circle:

### Polygon around Polygon

A polygon is **circumscribed around **another polygon when each of its sides passes through each of the vertices of the other polygon.

### Sphere around Polyhedron

A sphere is **circumscribed around** a polyhedron when its surface passes through each of the vertices of that polyhedron:

### Polyhedron around Sphere

A polyhedron is **circumscribed around** a sphere when each of its faces is tangent to the surface of the sphere:

## Also see

## Sources

- 1989: Ephraim J. Borowski and Jonathan M. Borwein:
*Dictionary of Mathematics*... (previous) ... (next):**circumscribe** - 2014: Christopher Clapham and James Nicholson:
*The Concise Oxford Dictionary of Mathematics*(5th ed.) ... (previous) ... (next):**circumscribe**