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 open curve.

In the above figures, we can see the starting point and the end point are not the same Such figures are known as open curves.

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.


Observe the following curves:

Simple Curves

In the above curves, (i) and (ii) are simple closed curves because they do not cross themselves as in the case of (iii) and (iv).

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

Each of the following curves is a simple closed curve.

Simple Closed Curve


(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

The figures which have the same starting and the end-points are called closed curves.


(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

You might like these

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

From Simple Closed Curves to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



Share this page: What’s this?

Recent Articles

  1. Relation between Diameter Radius and Circumference |Problems |Examples

    Apr 22, 24 05:19 PM

    Relation between Radius and Diameter of a Circle
    Relation between diameter radius and circumference are discussed here. Relation between Diameter and Radius: What is the relation between diameter and radius? Solution: Diameter of a circle is twice

    Read More

  2. Circle Math | Terms Related to the Circle | Symbol of Circle O | Math

    Apr 22, 24 01:35 PM

    Circle using a Compass
    In circle math the terms related to the circle are discussed here. A circle is such a closed curve whose every point is equidistant from a fixed point called its centre. The symbol of circle is O. We…

    Read More

  3. Preschool Math Activities | Colorful Preschool Worksheets | Lesson

    Apr 21, 24 10:57 AM

    Preschool Math Activities
    Preschool math activities are designed to help the preschoolers to recognize the numbers and the beginning of counting. We believe that young children learn through play and from engaging

    Read More

  4. Months of the Year | List of 12 Months of the Year |Jan, Feb, Mar, Apr

    Apr 20, 24 05:39 PM

    Months of the Year
    There are 12 months in a year. The months are January, February, march, April, May, June, July, August, September, October, November and December. The year begins with the January month. December is t…

    Read More

  5. What are Parallel Lines in Geometry? | Two Parallel Lines | Examples

    Apr 20, 24 05:29 PM

    Examples of Parallel Lines
    In parallel lines when two lines do not intersect each other at any point even if they are extended to infinity. What are parallel lines in geometry? Two lines which do not intersect each other

    Read More