Construction of a Regular Pentagon

In this part we are going to see in detail about the introduction to construction of a regular pentagon. It’s easy to construct a regular polygon by simply using the compass and the ruler. And so is the construction of the regular pentagon. Most of the pentagons constructed in this method are done by inscribing it into the circle.

Construction of a regular pentagon Method 1:

Draw a circle of diameter AB centered at O.
Draw a line CD perpendicular to AB. Now mark the mid points of OA and OB as P and Q respectively. Draw circles with center as P and Q and radius OP and OQ respectively.
Draw a line from C to P. This line intersects the circle with center Q at T.
With C as center and CT as radius draw a circle. This circle intersects the main circle at E and F which are the successive pentagon vertices.
With length EF find the other vertices of the pentagon.

Since the pentagon has all its sides equal it will be easy to find the other sides if find any one of the vertices.

Construction of a regular pentagon Method 2:

• Draw a circle with center O and Diameter XX’.

• Then draw a line AQ perpendicular to the line XX’.

• Now Mark a point P such that it bisects the line OX’.


• With P as center and length AP draw an arc such that it cuts the line OX. Mark the point G.

• Then with AG as radius and A as center draw an arc such that it cuts the circle at B and C



• With AB or AC as radius find the points D and E.

• Join the points ABCDE to get pentagon.