Draw a pie chart for the above information. 4. In an election, the number of votes won by five political parties A, B, C, D and E in a village

Add the number of students for all subjects:

$$\text{Total students} = 45 (\text{Math}) + 39 (\text{Physics}) + 28 (\text{Chemistry}) + 14 (\text{Biology}) + 36 (\text{Economics}) + 18 (\text{History})$$ $$\text{Total students} = 180$$

To draw a pie chart, each category's proportion of the total is represented by a sector of a circle. A full circle is $360^\circ$. The central angle for each subject is calculated as:

$$\text{Central Angle} = \frac{\text{Number of students in subject}}{\text{Total number of students}} \times 360^\circ$$

• Mathematics: $$\frac{45}{180} \times 360^\circ = 90^\circ$$
• Physics: $$\frac{39}{180} \times 360^\circ = 78^\circ$$
• Chemistry: $$\frac{28}{180} \times 360^\circ = 56^\circ$$
• Biology: $$\frac{14}{180} \times 360^\circ = 28^\circ$$
• Economics: $$\frac{36}{180} \times 360^\circ = 72^\circ$$
• History: $$\frac{18}{180} \times 360^\circ = 36^\circ$$

To draw the pie chart, use a compass to draw a circle. Then, use a protractor to measure and draw the calculated central angles from the center of the circle. Label each sector with its corresponding subject.

The central angles for the pie chart are:

• Mathematics: $\boxed{90^\circ}$
• Physics: $\boxed{78^\circ}$
• Chemistry: $\boxed{56^\circ}$
• Biology: $\boxed{28^\circ}$
• Economics: $\boxed{72^\circ}$
• History: $\boxed{36^\circ}$