Question:
The marks obtained by Sudhir in an examination are given below:
Represent the above data by a pie chart.
Solution:
Total marks obtained $=(105+75+150+120+90)=540$
Central angle of each subject $=\left(\frac{\text { marks obtained in each subject }}{\text { total marks obtained }} \times 360\right)^{\circ}$
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 this circle.
3. Draw sectors whose central angles are $70^{\circ}, 50^{\circ}, 100^{\circ}, 80^{\circ}$ and $60^{\circ}$.
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.