Download Commodity

Download Article

A regular pentagon is a five-sided polygon with sides of equal length and interior angles of 108° (3π/5 rad). Considering 5 is a Fermat prime, you lot can construct a regular pentagon using only a straightedge and compass.

Steps Download Commodity

  1. i

    Depict a line segment AB. [i]

  2. two

    Describe two circles, 1 and 2, centred at A and B, both with radius AB. The points where they intersect each other are C and D.[two]

    Ad

  3. 3

    Connect C and D.

  4. iv

    Describe circle three with center C and radius AB. Circle 3 intersects circles 1 and 2 in East and F respectively. Information technology also intersects line segment DC in G.[3]

  5. 5

    Connect Due east and F with Grand. Extend these lines far enough and then they intersect circles 1 and 2. Call these new intersection points H and I.

  6. half dozen

    Draw circles 4 and five centred at H and I with radius AB. Proper noun the upper intersection point J.[4]

  7. 7

    Connect A, B, I, J and H. [five]

  8. 8

    Trace the pentagon in ink or another colour and erase any construction lines (if needed).

    Advertisement

Ask a Question

200 characters left

Include your email address to get a message when this question is answered.

Submit

Advertisement

  • Place a piece of cardboard or a volume under your newspaper to foreclose the compasses from slipping.

  • Use a sharp pencil for increased precision.

Thanks for submitting a tip for review!

Advertisement

References

About This Article

Thanks to all authors for creating a page that has been read 51,911 times.

Did this article assistance you lot?