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Draw and measure line segments and angles

Circles

Parts of a circleUsing compasses

This topic is relevant for:

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.

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.

In order to draw hexagons:

**Draw a circle.****Make arcs around the circle.****Join the points.**

Get your free How to draw a hexagon worksheet of 20+ questions and answers. Includes reasoning and applied questions.

COMING SOONGet your free How to draw a hexagon worksheet of 20+ questions and answers. Includes reasoning and applied questions.

COMING SOONConstruct a hexagon

**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.

2**Make 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.

3**Join 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.

**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:

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

Use this circle.

You must show all your construction lines.

**(2 marks)**

Show answer

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)**

You have now learned how to:

- Draw a perfect hexagon using constructions

Prepare your KS4 students for maths GCSEs success with Third Space Learning. Weekly online one to one GCSE maths revision lessons delivered by expert maths tutors.

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#### FREE GCSE Maths Practice Papers - 2022 Topics

Download free

Practice paper packs based on the advanced information for the Summer 2022 exam series from Edexcel, AQA and OCR.

Designed to help your GCSE students revise some of the topics that will come up in the Summer exams.