Pie charts

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Tutor: Alice

Summary

Pie charts

In a nutshell

A pie chart shows things as proportions. Everything in a pie chart adds up to 360°360\degree and can be written in degrees, as a fraction or as a percentage.



Interpreting pie charts

Being able to convert between angles and proportions is important when making sense of a pie chart. The following formula can help and your answer can be calculated as a fraction or a percentage:

angle360=frequencytotal\frac{\text{angle}}{360}=\frac{\text{frequency}}{\text{total}}


Example 1

This pie chart represents the colour of different flowers growing in a field. In total there are 500500 flowers; how many pink flowers are there? 


Maths; Statistics; KS4 Year 10; Pie charts


Using the formula:

54360=frequency50054360=15%\begin {aligned}\frac{54}{360}&=\frac{\text{frequency}}{500} \\\frac{54}{360}&=15\%\end {aligned}​​

Work out 15%15\%​ of 500500:

10%+5%=50+25=7510\% + 5\% = 50+25=75

There are 75\underline{75} pink flowers.



Drawing a pie chart

Drawing a pie chart involves working out each quantity as a proportion of 360360 and hence an angle.


procedure

1.

Add all the values to find the total represented by the pie chart.

2.

Find the number you multiply the total by to get 360.

3.

Multiply each number by the multiplier to find the angle.

4.

Draw using a protractor and label.

Example 2

Draw a pie chart that represents the different instruments played by students in school.


Instrument

Trumpet

Piano

Guitar

Violin

Number of players

44​​

2020​​

88​​

88


Find the total number of players:

4+20+8+8=404+20+8+8=40​​


Find the multiplier:

360÷40=9360\div40=9​​


Multiply every number by 4040​ to get the angle:


Instrument

Trumpet

Piano

Guitar

Violin

Angle​

4×9=36°4\times9=36\degree
20×9=180°20\times9=180\degree​​
8×9=72°8\times9=72\degree​​
8×9=72°8\times9=72\degree​​


Draw and label:

Maths; Statistics; KS4 Year 10; Pie charts


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FAQs - Frequently Asked Questions

How do I draw a pie chart?

What is a pie chart?

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