Drawing shapes

How to Draw a Perfect Pentagon - Two Simple Methods

Mary Smith
By Mary Smith. Updated: April 25, 2023
How to Draw a Perfect Pentagon - Two Simple Methods

Want to draw a perfect pentagon with ease and precision? Don't struggle or waste countless erasers. With the power of simple mathematics and geometry tools, you too can create a pentagon with equal sides and corners that touch.

Whether you're a student, artist, or just love geometry, this guide from oneHOWTO will show you how to make the perfect pentagon using two methods!

You'll need:
  • Paper
  • Compass
  • Protractor
  • Pen or pencil
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Steps to follow:
1

To draw a perfect pentagon, begin by marking a dot at the center of your paper. Next, place your compass on the dot and draw a perfect circle.

How to Draw a Perfect Pentagon - Two Simple Methods - Step 1
2

To continue with the process of drawing a perfect pentagon, use a protractor and the central dot to divide the circle into five points.

Since a circle has 360 degrees, dividing it into five points requires marking each point at an angle of 72 degrees (360/5 = 72°). Use the protractor to measure and mark each point accurately to ensure that your pentagon has the correct dimensions.

How to Draw a Perfect Pentagon - Two Simple Methods - Step 2
3

To complete the pentagon, simply draw a line to connect each adjacent point. Once you have connected all five points, you will have a perfectly formed pentagon.

Erase the circle when you no longer need it as a guide.

How to Draw a Perfect Pentagon - Two Simple Methods - Step 3
4

To draw a pentagram instead of a pentagon, connect each point to the two opposite points instead of joining adjacent points.

How to Draw a Perfect Pentagon - Two Simple Methods - Step 4
5

If you are given a circle and want to draw a pentagon, you can use a compass and a ruler to complete the task. This approach may be useful for certain exercises, and it is applicable when you do not require the sides to have specific measurements.

Here are the steps to follow:

  1. Using the compass, draw a circle with a radius of A and a center at point AB.

  2. Draw a second circle with the same radius, and its center at point A. The intersection of the two circles will be point C.

  3. Draw a straight line through points A and C using the ruler.

How to Draw a Perfect Pentagon - Two Simple Methods - Step 5
6

4. Draw another straight line through points B and C. The intersection of the second line with the first circle will be point D.

5. Draw a straight line from point A to point D. The third intersection of the second circle and this line will be point.

6. Set the compass to the distance between points C and E and draw a circle centered on point B. This third circle will intersect the first straight line at point F. Set the compass to the distance between points E and F. This will give you the edge length of a perfect pentagon.

How to Draw a Perfect Pentagon - Two Simple Methods - Step 6
7

7. Draw the lines with the compass at the given length. Connect each mark created with the compass to complete your pentagon.

8. Erase the circles and lines when you no longer need them as a guide.

This method may be more elaborate than the previous one, but it is 100% accurate and will result in a perfect pentagon.

How to Draw a Perfect Pentagon - Two Simple Methods - Step 7

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Write a comment

What did you think of this article?
3 comments
Rating:
Remedy
It was really helpful😜😎
Rating:
mike
Excellent. As a math major, I always wondered how to do this. Is there awritten proof on this construction?
OneHowTo Editor
Hi Mike,

We don't have one at the minute, but we will consider it if we update the article. Thanks for the input.
Sachin
its very hard to make
Kathleen Lasiter
Found it very easy!
OneHowTo Editor
We're glad it was helpful for you !
Karrots
Karrots
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How to Draw a Perfect Pentagon - Two Simple Methods