Lesson: Geometry Challenging - 12

Circumscribed Figures

[Page 12 of 32]

A geometric figure that is drawn around another geometric figure so as to touch all its vertices is called Circumscribed. There are three different cases when a figure is circumscribed around another geometric figure:

  • Case 1: When a polygon is circumscribed around a circle
  • Case 2: When a circle is circumscribed around a polygon.
  • Case 3: When a polygon is circumscribed around another polygon

A figure is circumscribed around a circle if each side of the figure is tangent to the circle.

Any rectangle circumscribed around a circle must be a square.

In the diagram above, square EFGH is circumscribed around Circle N.

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