Circumscribed Shapes
Circumscribed shapes are geometric figures that are drawn around another shape, such that all vertices of the inner shape touch the outer shape. For example, a circle can be circumscribed around a triangle, meaning that the circle touches all three vertices of the triangle. This concept is important in geometry as it helps in understanding the relationships between different shapes.
In a circumscribed shape, the outer shape is often referred to as the circumscribing shape. The radius of the circumscribed circle is known as the circumradius, which is the distance from the center of the circle to any of the vertices of the inner shape. This property is useful in various applications, including trigonometry and engineering.