Divide the circle into five equal parts

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Dividing a circle into five equal parts is a task that is often asked in school in geometry class. The easiest way to do this is with a protractor.

How to divide a circle into five equal parts

Dividing a circle into five or more equal pieces is usually very easy if you look at the geometry of the circle in front of your eyes. It is particularly easy if you draw the circle with the compass yourself, as you then do not have to laboriously determine the center of the circle.

  1. First mark the future center of the circle with a cross on a sheet of paper.
  2. Pierce this point with the compass and draw the circle in the desired size.
  3. Now mark any point on the edge of the circle and connect it to the center point. To do this, use the ruler so that you get a really straight line.
  4. Since a circle has exactly 360 degrees, the further procedure is very easy. So divide that 360 degrees by five - the result is 72.
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  6. Mark these 72 degrees on the edge of the circle with a protractor and reconnect this point to the center point.
  7. Continue in this way until you have five segments - you have now completed dividing the circle into five equal parts.

Determine the center of the circle - this is how it works

If you have a given circle, you must first determine the center of the circle. Even that is not a difficult task in itself.

  1. First mark any four points on the edge of the circle and connect two of them.
  2. At each of these two emerged Straight lines (Secant) place in the right angle the set square and draw a line.
  3. The center of the circle is where the two resulting lines intersect. Now, as described above, you can easily divide the circle into five equal parts.
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