How Do You Draw a Heptagon?

draw-heptagon Credit: theilr/CC-BY 2.0

A heptagon is an equal-sided figure with seven sides. There are various ways to go about drawing this shape. One of the simplest and most accurate methods is by drawing three circles and two triangles. You need a compass, a ruler, a pencil, a protractor and a piece of paper.

  1. Draw circle 1

    Using your compass fixed with a pencil, draw a circle of reasonable measurement on your paper. Label the center of the circle as P.

  2. Draw right-angled triangle 1

    Using a ruler and a pencil, draw a line from P to touch the circumference of circle 1 at Q. Draw another line from P to touch the circumference of the same circle at R, such that angle QPR is 90 degrees. Join Q to R with a straight line.

  3. Draw right-angled triangle 2

    Draw a straight line from Q to S such that it is half the length of line QR, and that it is perpendicular to line QR. Join R to S with a straight line.

  4. Draw circle 2

    Draw a circle at point S with QS as the radius. Circle 2 meets line RS at T.

  5. Draw circle 3

    Draw a circle at point R with radius RT. Circle 3 intersects circle 1 at two points, U and T. Join R to T with a straight line

  6. Draw the heptagon

    Replicate the measurement of line RT in circle 1, ensuring that the lines join each other at the circumference of circle 1, as you navigate round the circle to point U. The figure in circle 1 is a heptagon.