Circumscribed to a circle and inscribed to a circle are two geometric concepts used to describe the relationship between a shape (usually a regular polygon) and a circle. Below I will explain in detail the differences and characteristics between circumscribed to a circle and inscribed to a circle:
1.circumscribed circle
Definition: A shape is attached to a circle, which means that every vertex of the shape is on the circumference of the circle, and the diameter of the circle is equal to the diagonal of the shape.
Features: aEach vertex of the shape is located around the circumference of the circle.
b.The diameter of the circle is equal to the diagonal of the figure.
Example: Enclosed to a circle can be applied to a variety of shapes, the most common being enclosed to a regular polygon. For example, when each vertex of a square is on the circumference of a circle, and the diameter of the circle is equal to the diagonal of the square, we call the circle the circumscribed circle of the square.
2.Inscribed circle:
Definition: A graph is cut into a circle, meaning that each side of the graph is tangent to the circumference of the circle, and the center of the circle is connected to the inner corners of the figure.
Features: aThe edges of each shape are tangent to the circumference of the circle.
b.The center of the circle is connected to the vertices of the inner corners of the shape.
Example: Entent to circle can also be applied to a variety of shapes, the most common being tangent to regular polygons. For example, when each edge of a regular triangle is tangent to the circumference of a circle, and the center of the circle is connected to the vertices of the inner corners of the triangle, we call the circle the inscribed circle of the regular triangle.
Entangled to a circle and inscribed to a circle describe the relationship between a shape and a circle. Attached to a circle means that each vertex of the figure is on the circumference of the circle, and the diameter of the circle is equal to the diagonal of the figure;Whereas cutting into a circle means that each edge of the figure is tangent to the circumference of the circle, and the center of the circle is connected to the inner corners of the figure. These concepts have a wide range of applications in geometry and can help us understand and derive the properties and relationships of shapes. Mathematics