Given below is the result of an annual examination of a class, showing the percentage of students in each category.
Question:
Given below is the result of an annual examination of a class, showing the percentage of students in each category.
Represent the above data by a pie chart.
Solution:
Total percentage $=100$
Central angle of each category $=\left(\frac{\text { value (in \%) of each category }}{100} \times 360\right)^{\circ}$
Calculation of central angles
Construction of pie chart
Steps of construction:
1. Draw a circle of any convenient radius.
2. Draw a horizontal radius of the circle.
3. Starting from the horizontal radius, draw sectors whose central angles are $90^{\circ}, 162^{\circ}, 72^{\circ}$ and $36^{\circ}$.
4. Shade the sectors so obtained differently and label each one of them.
Thus, we obtain the required pie chart as shown in the figure below.
