# How to Draw a Hexagon

Here we will learn about how to draw a hexagon using a pencil, a ruler and a pair of compasses.

There are also constructions worksheets, including how to draw a hexagon, based on Edexcel, AQA and OCR exam questions, along with further guidance on where to go next if you’re still stuck.

## How to draw a hexagon

In order to draw a hexagon you need to accurately construct 6 arcs at regular intervals on the circumference of a circle. These arcs can then be joined with straight lines.

To do this we need to use a pencil, a ruler (a straight-edge) and compasses.

E.g.

A regular hexagon is a regular polygon with 6 sides and 6 vertices. It has equal sides and equal angles.

An equilateral triangle can be constructed in a similar way.
Equilateral triangles, squares and regular hexagons along with other regular polygons including regular pentagons, regular heptagons and regular octagons can be constructed and have been used in art for many centuries.

### What is how to draw a hexagon? ## How to draw a hexagon

In order to draw hexagons:

1. Draw a circle.
2. Make arcs around the circle.
3. Join the points.

### How to draw a hexagon ## How to draw a hexagon examples

### Example 1: draw a hexagon

Construct a hexagon

1. Draw a circle.

Here is the first how to draw a hexagon step. Use compasses to draw a circle and mark the centre point with a cross.

2Make arcs around the circle.

Keep the compasses set the same, make a starting mark A and then draw arcs.  Keep moving the compasses on until there are 6 marks on the circumference of the circle.

3Join the points.

With a straight-edge join the point where the arcs cross the circle.

By joining together the end points of the arcs we create a hexagon shape with equal side lengths.

### Common misconceptions

• The compasses must be kept at the same setting

The circumference of a circle is approximately 6 times the length of the radius, so that is why we can have 6 arcs with the compasses around the circumference of the circle. When they are joined together this will give us 6 as the number of sides.

• The pencil should be sharp

A sharp pencil helps your diagram to be accurate. Using a small pencil in compasses can also be helpful.

• The points joined must be where the arcs cross the circle

Join up the intersections of the arcs for an accurate construction of the regular hexagon.

How to draw a hexagon is part of our series of lessons to support revision on constructions. You may find it helpful to start with the main constructions lesson for a summary of what to expect, or use the step by step guides below for further detail on individual topics. Other lessons in this series include:

### Practice how to draw a hexagon questions

1. Draw an accurate hexagon.        The compasses should be kept the same as the radius for 6 equally spaced arcs around the circle. Where the arcs intersect the circle are the points which are joined with a straight-edge to make the hexagon. All 6 points should be joined up.

### How to draw a hexagon GCSE questions

1. Use compasses and a ruler to construct a hexagon.

Use this circle.

You must show all your construction lines. (2 marks) for 6 equally spaced arcs (the first may be a mark).

(1)

for the perfect hexagon drawn with straight lines and the construction arcs.

(1)

## Learning checklist

You have now learned how to:

• Draw a perfect hexagon using constructions

## Still stuck?

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#### FREE GCSE maths practice papers (Edexcel, AQA & OCR)

8 sets of free exam practice papers written by maths teachers and examiners for Edexcel, AQA and OCR.

Each set of exam papers contains the three papers that your students will expect to find in their GCSE mathematics exam.