How to Construct a Hexagon with a Compass and Straightedge

This article provides illustrations and instructions to help students construct a hexagon using a compass and straight edge using a range of methods.

How to draw a hexagon when given a circle (compass method)

You can also use this method when you know the distance “across the corners,” (AC) as this distance will tell you the diameter, allowing you to draw the circle.

• Draw the circle using the given radius
• Use the compass to step the radius around the circle to find the six points (the radius is equal to the side length)
• Draw in the hexagon

How to draw a hexagon when given a circle (30/60° set square method)

• Use the given radius to draw the circle
• Use the 30/60° set square to add in 30° and vertical lines (as shown in diagram)
• Draw in the hexagon

How to draw a hexagon when given one side

• Use the side to construct an equilateral triangle (this finds the centre of the circle)
• Scribe a circle from the top of the triangle (radius = length of side)
• Use the compass to step the radius around the edge of the circle to find the points