Simple Closed Curves

In simple closed curves the shapes are closed by line-segments or by a curved line.

Triangle, quadrilateral, circle, etc., are examples of closed curves.

Closed Curves

A curve which starts and ends at the same point without crossing itself is called a simple closed curve. A circle is a simple closed curve. 

Some more examples of simple closed curves are given below.

Closed Curves Examples

The shape which is not closed by line-segments or a curve is called an open curve.

Open Curve

The curves which do not have same starting and end points are called open curves.

Some examples of open curves are given below.

Open Curves Examples

A closed curve which does not cross itself is called a simple closed curve.

The curve which crosses itself is not a simple closed curve.

Here is a collection of closed curves. Except curve (d) and (e), the remaining shapes are simple closed curves.

Collection of Closed Curves

There are three types of simple closed curves.

(i) Some simple closed curves are made of line-segments only. These curves are known as polygons. Triangle, quadrilateral, pentagon etc., are polygons.

Example of Polygons

(ii) Some simple closed curves are made by curved lines only. A circle is an example of such a closed curve.

Examples of closed curves are made by curved lines

(iii) Some simple closed curves are made of both line-segments and curved lines.

are made of both line-segments and curved lines

Related Concepts on Geometry - Simple Shapes & Circle

Simple Closed Curves


Different Types of Polygons




Circle Math

Line Symmetry

Symmetrical Shapes

4th Grade Math Worksheets

Math Homework Sheets

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