40 people answered a survey about their favourite book genres. The results are displayed in a pie chart. The pie chart shows the percentage of people who like each genre: Travel ($108^\circ$), Drama ($36^\circ$), Horror ($135^\circ$), and Science Fiction ($81^\circ$). We need to find how many people said drama.

1. Problem Description

40 people answered a survey about their favourite book genres. The results are displayed in a pie chart. The pie chart shows the percentage of people who like each genre: Travel ($108^\circ$), Drama ($36^\circ$), Horror ($135^\circ$), and Science Fiction ($81^\circ$). We need to find how many people said drama.

2. Solution Steps

The total angle in a circle is $360^\circ$. The proportion of people who chose drama is $\frac{36^\circ}{360^\circ}$.

To find the number of people who chose drama, we multiply the total number of people surveyed (40) by the proportion who chose drama.

Proportion of people who chose drama = $\frac{36}{360} = \frac{1}{10}$

Number of people who chose drama = $\frac{1}{10} \times 40 = 4$

3. Final Answer

4