Properties of circumscribed circle and inscribed circle:
1. Circumcircle: usually for a convex polygon, such as a triangle. If a circle just passes through three vertices, the circle is called the circumscribed circle of the triangle. At this time, the circle just encloses the triangle.
2. Inscribed circle: also usually for a convex polygon. For example, a triangle, if a circle is tangent to three sides of the triangle, the circle is called the inscribed circle of the triangle, and the circle is just inside the triangle.
3. Inscribed circle: usually for another circle. If a circle is inside another big circle and two circles have only one common point, this circle is called the inscribed circle of the big circle.
4. Circumferential circle: It is also usually for another circle. If two circles have only one common point and the distance between the centers is equal to the sum of the radii of two circles, these two circles are circumferential circles to each other.