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

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

are made of both line-segments and curved lines
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Related Concepts on Geometry - Simple Shapes & Circle

Simple Closed Curves

Polygon

Different Types of Polygons

Angle

Triangle

Quadrilateral

Circle Math

Line Symmetry

Symmetrical Shapes






4th Grade Math Worksheets

Math Homework Sheets

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