Pie charts are based on fractions of 360°

The fractions can be worked out from the angles at the centre of the chart.

This pie chart shows the results of a survey on favourite crisp flavours.

The salt and vinegar sector shows 36° which is 36/360 of the whole circle.

We can simplify this by dividing both the top and bottom by 36 to get the fraction 1/10

Now we need a hard fact, such as the actual number who chose salt and vinegar or the total number in the survey.

**Example 1**

If 15 people chose salt and vinegar, how many people took part in the survey?

**Answer**

15 people are shown in 1/10 of the circle, so there must be 10 x 15 = **150 **people in total.

**Example 2**

If 40 people took the survey, how many people chose salt and vinegar?

**Answer**

We need to work out 1/10 of 40 = 4, so **4 **people chose salt and vinegar.

Shall we try some questions now - if you're not too hungry!