DIVIDING A CIRCLE INTO 8 EQUAL PARTS

How Do You Divide a Circle into Eight Equal Parts?

To divide a circle into eight equal parts,  divide the circle into HALF, with any diameter. Continue and fold the resulting half-circle shape in half again to give QUARTERS. 

Fold again the quarters into a wedge shape (bisector).

 This will  give 8 equal parts, but you need to fold the paper...

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DIVIDING A CIRCLE INTO 8 PARTS USING 

BISECTORS:


USE BISECTORS to have 8 equal parts (2 squares). The process and result are the same, but you will NOT fold the paper sheet.

DRAW the circle with the given radius: r=8cm. Do not miss its center!

DIVIDE the circle into 2 equal parts, using one diameter: this will give you 2 HALVES.

DIVIDE again those two parts into 4 (quarters), USING BISECTORS.

And DIVIDE again those quarters into 8 equal parts (eights), drawing 2 new bisectors.

The result may look like this:

CREATING WITH TRIANGLES

This will be the first CREATIVE work you do with Geometry this year:

How can you express yourself when drawing triangles?

You now know the difference between ABSTRACT and FIGURATIVE.
You also know the difference between MEANING and SENSATION.

So, get ready to express yourself with a drawing with triangles.


There are many ideas you can choose:

-A landscape (FIGURATIVE):

 

-A sensation (ABSTRACT)

-A pattern (used to cover surfaces: it is usually abstract, but can also be figurative)

-A word (you will have to transform shapes into triangles)



You can do this work in several ways: painting with colours, or just pencil.
Col-lage is also a thecnic you may use.
Crayons, markers,,,every materials for colouring are welcome.


FEEL FREE to do whatever you want...USING TRIANGLES.

ROTATED POLIGONS

This is a ROTATED POLYGON: it is not so complex:

CAN YOU recognize the shape? HOW MANY sides does it have?

You need a REGULAR POLYGON to start with.

 We are going to use an EQUILATERAL TRIANGLE:

1-Draw an equilateral triangle. The side is 10 cm long.

2-With the compass (2cm wide) divide each side in 5 equal parts.

3-JOIN the first division in the first side with the first on the second side.

4-JOIN the second division with the third: THIS WILL CREATE ANOTHER EQUILATERAL TRIANGLE.

5-Repeat this until you do not have any divisions left.

Once you know how to draw polygons, youĺl be able to discover many outstanding shapes:

RECTANGLE:::::::::::::::::::::