Construction of Pentagon
In geometry, a pentagon (from the Greek πέντε pente meaning five and γωνία gonia meaning angle) is any five-sided polygon or 5-gon. The sum of the internal angles in a simple pentagon is 540°. A pentagon may be simple or self-intersecting.Question: Draw a regular pentagon with one side = 40mm (Using universal circle method).
Solution:
- Draw a horizontal line of 40mm and name it AB.
- Draw a vertical line of 40mm from point B and name it BR.
- Connect the points A and R.
- Take a compass with the radius of 40mm an 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 intersects, name that point 6.
- At the mid point of line 46, name that point 5 as shown in the solution.
- Draw a circle of radius A5 using a compass, taking center as point 5.
- Now take radius of 40mm in the compass and draw 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.
Practice questions on pentagon:
- Draw a regular pentagon with one side = 40mm.
- Draw a regular pentagon with one side = 30mm.
- Draw a regular pentagon with one side = 35mm.