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Planar Figures, Perimeter (Circumference) and Area in GeoGebra

You can use GeoGebra to draw points, lines, and planar figures like polygons, circles, and ellipses. You’ll also learn how you can compute the perimeter/circumference and area of your figures.

GeoGebra Instruction 1

Drawing a Point

1.
Open Algebra View and Graphics View under GeoGebra icon View in GeoGebra icon Menu.
2.
Select the Point GeoGebra icon tool, which is the second tool in Toolbar.
3.
Draw a point in Graphics View by clicking on where you want your point.
4.
If you want to hide the axes and the grid lines in Graphics View, click Style Bar GeoGebra icon in the top-right corner. Click the left-most button to hide the axes. To hide the grid, click the button showing a grid, then select the option which has no grid lines.

GeoGebra Instruction 2

Drawing a Line

1.
Open Algebra View and Graphics View under GeoGebra icon View in GeoGebra icon Menu.
2.
Select the Line GeoGebra icon tool, which is the third tool in Toolbar.
3.
Lines in GeoGebra are made by first drawing two points, then GeoGebra draws the line that goes through them both. Like in Item 4, make the points by clicking on where you want them.
4.
If you click the Line GeoGebra icon tool again, you’ll open the toolbox for lines. Here you’ll find many alternatives to Line GeoGebra icon:

  • The second tool in the list is Segment GeoGebra icon, which lets you draw a line segment between two existing points.

  • The third tool in the list lets you draw a line segment with a given length.

5.
If you want to hide the axes and the grid lines in Graphics View, click Style Bar GeoGebra icon in the top-right corner. Click the left-most button to hide the axes. To hide the grid, click the button showing a grid, then select the option which has no grid lines.

GeoGebra Instruction 3

Drawing a Polygon

1.
Open Algebra View and Graphics View under GeoGebra icon View in GeoGebra icon Menu.
2.
Select the Polygon GeoGebra icon tool, which is the fifth tool in Toolbar.
3.
Draw a polygon by clicking on where you want its vertices to be. When you’ve drawn all the vertices, complete the polygon by clicking on the first vertex you drew.
4.
If you want to hide the axes and the grid lines in Graphics View, click Style Bar GeoGebra icon in the top-right corner. Click the left-most button to hide the axes. To hide the grid, click the button showing a grid, then select the option which has no grid lines.

GeoGebra Instruction 4

Finding the Perimeter/Circumference of a Figure

1.
Draw your figure in GeoGebra.

2.
Find the name of your figure in Algebra View. Usually, the first polygon gets the name t1, while circles and ellipses get the name c.
3.
In an empty row in Algebra View, use the command

  • Perimeter(<Polygon>) if your figure is a polygon. Replace <Polygon> by the name you got in Step 2.

  • Circumference(<Conic>) if your figure is a circle or an ellipse. Replace <Conic> by the name you got in Step 2.

Press Enter. The perimeter/circumference will be printed in Algebra View.

GeoGebra Instruction 5

Finding the Area of a Figure

1.
Draw your figure in GeoGebra.

2.
Find the name of your figure in Algebra View. Usually, first polygon gets the name t1, while circles and ellipses get the name c.
3.
In an empty row in Algebra View, use the command

  • Area(<Polygon>) if your figure is a polygon. Replace <Polygon> by the name you got in Step 2.

  • Area(<Conic>) if your figure is a circle or an ellipse. Replace <Conic> by the name you got in Step 2.

Press Enter. The area will be printed in Algebra View.

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