How to draw a pentagon?

Vishal R. Pawar February 04, 2022

Construction of a pentagon

Here, we'll learn how can we can draw a pentagon very easily and efficiently. For example, we'll draw a pentagon of side 40 mm (= 4 cm). We can draw any length of a pentagon by following the given method.

Question: Draw a regular pentagon with one side = 40mm (Using the universal circle method).

Solution:

Procedure:

Draw a horizontal line of 40mm and name it AB.
Draw a vertical line of 40mm from point B and name it BR.
Connect points A and R.
Take a compass with a radius of 40mm and draw an arc from point A to R, taking the center as point B.
Now draw the perpendicular bisector of the side AB.
At which point the perpendicular bisector and line AR intersects, name that point 4, and where the perpendicular bisector and the arc AR intersect, name that point 6.
At the midpoint of line 46, name that point 5 as shown in the solution.
Draw a circle of radius A5 using a compass, taking the center as point 5.
Now take a radius of 40mm in the compass and draw an arc on the circle of radius A5 from point B. Name that point C.
Repeat the similar process for points C, D, and E as shown in the figure.
Connect all the points A, B, C, D, and E.
Your pentagon is ready.