Geometry: Getting Started - Perimeter and Circumference
This is a free lesson from our course in Geometry
 
   
In this lesson you’ll learn about the basics and concepts of perimeter and circumference, and how to find the pperimeter and circumference of geometric shapes. The presentation covering such content will be done by the instructor in own handwriting, using video and with the help of several examples with solution. This will help you understand and master the basics and formulas of important geometry applications in this area, and how to apply them to find solution.
You’ll come across in geometry using two terms ‘Perimeter and Circumference’. The basic difference between the two can be understood like: ‘perimeter’ refers to the length of the outline of a shape with defined starting and end points and ‘circumference’ is the length of outline of a circle. In case of a circle, since the shape is curve and not straight line governed boundaries, total length of outline can not be found simply by adding up the border. How to determine these two is explained here after for regular as well as irregular shapes. (More text below video...)
<h2> Geometry - Getting Started - Perimeter and Circumference</h2> <p> circle, polygon, example, video, solution, side, perimeter, circumference, quadrilateral, measure, length, practice with perimeter and circumference, radius, diameter, geometry help, distance, geometry tutorials, quizzes</p> <p> To find the perimeter of any polygon, find the sum of the lengths of the sides. Let us look at the case of a quadrilateral, with a, b, c, and d as the lengths of its sides. The perimeter for this is the sum of all the sides i.e. P = a + b + c + d.</p>
Other useful lessons:
Perimeter of a Polygon
Circumference of a Circle
Effect of dimension changes on perimeter
Real World Applications
(Continued from above) Regular shapes
The perimeter of a figure is the distance around it. You measure perimeter in units of lengths, such as kilometers, meters, centimeters, millimeters, inches, feet, yards, miles etc. To find the perimeter of a closed figure made up of line segments, add up the lengths of the line segments. E.g. find the perimeter of the closed figure (Fig: 1):
Regular shapes
To find the perimeter, add the length of the four sides, i.e. (8+5+7+4) = 24 in.
The circumference of a circle is determined by the formula: Circumference = 2r, where 'r' is the radius of the circle. Notice that larger the radius of the circle, larger is the circumference. E.g. find the circumference of the circle in the diagram (Fig: 2) above:
                                                Circumference = 2r = 2**2 = 12.57 in.
The value of is approximately 3.14159265358979323846...
Note: The diameter of a circle is twice the radius. The number is the ratio of the circumference of a circle to the diameter.
Given the circumference of a circle, you can find the diameter using the formula: Circumference = *d or *2*r. For example,
Given: the circumference of a circle 24 in., find out the diameter of this circle?
It can be determined by using the formula: Circumference = d.
                                                  Thus d= Circumference/ = 24 / = 24 in.
Irregular shapes
You may come across some shapes where it is a combination of rectangles, squares, circles, triangles, rhombus etc, or part thereof. In such cases perimeter can be found out by breaking up the irregular shapes into components suitably and then individual part perimeters are added up to find the total length of the boundary. E.g. in Fig: 3, the original shape is made up of two different shapes (Rectangle and Triangle).
Irregular shapes
Remember:
• perimeter is not the same as area (area is the region in the enclosed boundary).
• likewise circumference is not the same as area Perimeter in case of circle.
• diameter of a circle is twice the radius.
The video above will explain more in detail about Perimeter and Circumference, with the help of several examples.
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