Circumscribed Figure
A circumscribed figure is a polygon drawn outside a circle such that every side of the polygon touches the circle at exactly one point. In this geometric arrangement, all sides of the polygon act as tangents to the inscribed circle.
Key Concepts
Each side of a circumscribed polygon is a tangent to the inner circle, meeting it at a unique point of contact.
The center of the inscribed circle is equidistant from all sides of the circumscribed polygon.
When a quadrilateral circumscribes a circle, the sum of the lengths of its opposite sides is always equal due to the equal tangents theorem.
Real World Applications
A square wooden frame built to tightly enclose a circular wall clock, where each inner edge of the frame touches the clock.
A triangular boundary wall constructed around a circular park such that the straight walls touch the circular path at three distinct points.