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- The line segments or curves forming a closed shape are continuous, meaning there is no break. The lines/curves must also form a closed region to be considered a closed shape:
In the case of curved lines, one curve is enough to form a closed shape. For example, a circle or an oval. But, in the case of straight lines, at least 3 lines are needed to form a closed shape and in geometry, we call it a triangle.
A closed line is a continuous line that starts and ends at the same point, forming a loop. It can be a simple shape like a circle or a complex shape with multiple curves and angles.
- What Is Closed Shapes?
- Difference Between Open and Closed Shapes
- Closed Shapes in Geometry
- Solved Examples
In geometry, a closed shape can be defined as an enclosed shape or figure whose line segments and/or curves are connected or meet end to end. Closed shapes start and end at the same point. The least number of sides required to make a closed shape is 3, which forms a polygon named a triangle.
The following table mentions all the differences between open and closed shapes based on their definitions. Let’s have a look:
The least number of sides a closed shape can have is 3, which is a polygon named triangle. 1. A triangle is a three-sided closed shape polygon having three vertices. 1. A circle is a closed shape with one face and no sides or vertices. 1. A quadrilateral is a four-sided closed shape having four vertices. Square, rectangle, rhombus, parallelogram, a...
Example 1. How many sides does this shape have? Is the shape closed or open? Solution: First, we count the number of straight lines in the shape. There are eight straight lines connected to each other, making an octagon. As this octagon’s outline may be traced without any gaps, it is a closed shape. Example 2. Are straight lines necessary to make c...
The line segments or curves forming a closed shape are continuous, meaning there is no break. The lines/curves must also form a closed region to be considered a closed shape: Open shapes. The segments or curves of an open shape are not always connected. At least one endpoint of one side is not connected to the rest: 2D shapes.
The line segments or curves forming a closed figure are continuous, meaning there is no break. The lines/curves must also form a closed region to be considered a closed shape. A closed figure has area and perimeter.
A polygon is defined as a two-dimensional shape that is made up of a finite number of straight line segments connected to form a closed figure. A circle, on the other hand, is a shape with a continuous curve that is always the same distance from a central point.
The continuous line forming the boundary of a closed geometric figure. The enclosing boundary of a curved geometric figure, especially a circle. The extent or measurement of a surface or piece of land. The amount of space that a substance or object occupies, or that is enclosed within a container, especially when great.
