How to Draw a Perfect Pentagon
By using some simple maths and geometry tools, we show you how to draw a perfect pentagon. There's no need to go crazy or waste two whole erasers. Achieving a pentagon, where each side is equal with corners that touch, is not impossible as we explain below.
The first step to draw a perfect pentagon is to mark a dot in the center of your paper. Place your compass on the dot, and draw a perfect circle. If you have time, here are other ways to draw a circle.
Using the central dot and a protractor, divide the circle into 5 points. There are 360º in a circle, and 360/5 = 72°. So, you should mark a dot every 72º. To get the right measurement, use a protractor to get the perfect measurement for your pentagon.
Connect every adjacent point. Now you have a pentagon.
If you want to draw a pentagram, instead of a pentagon: Instead of joining adjacent points together, you have to join each point with the two opposite points.
Erase the circle when you no longer need it as a guide.
You can also draw a pentagon with a compass and a ruler if a circle is given. This will be useful for certain exercises and can also be applied when you do not need to have a specific size for the sides.
- Draw a circle with the compass its radius being A and with its center being A B.
- Draw a second circle with the same radius, with its center on A.
- The intersection where both circles meet will be C.
- Draw a straight line through A and C with the ruler.
- Draw another straight line through B and C.
- This second line will give you an intersection with the first circle, which will be D.
- Draw a straight line from A to D.
- This will create a third intersection between the second circle and this last line. This will be intersection E.
- Set the compass in the distance between C and E and draw a circle centered on B.
- This third circle will meet the first straight line. This intersection will be F.
- Draw the original circle once more.
- Set the compass to the distance between E and F. This will give you the edge length of a perfect pentagon.
- Draw the lines with the compass at the given length.
- Unite each mark you have created with the compass. You now have your pentagon.
This method may be more elaborate, but it is 100% accurate and will give you a perfect pentagon.
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