Question

The data on religion wise division of 1080 workers of a factory are given below:

Religion	Hindu	Muslim	Sikh	Christian
Number of workers	450	270	255	105

Draw a pie chart to represent the above data.

Answer 1

$$\begin{gathered} \mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{workers}=1080 \\ \mathrm{Central}\mathrm{angle}\mathrm{of}\mathrm{each}\mathrm{religion}=\left(\frac{\mathrm{number}\mathrm{of}\mathrm{workers}\mathrm{in}\mathrm{each}\mathrm{religion}}{\mathrm{total}\mathrm{number}\mathrm{of}\mathrm{workers}}\times 360\right)° \\ \mathbf{Calculation}\mathbf{}\mathbf{of}\mathbf{}\mathbf{central}\mathbf{}\mathbf{angles} \end{gathered}$$

Religion	Marks obtained	Central angle
Hindu	450	$150°$
Muslim	270	$90°$
Sikh	255	$85°$
Christian	105	$35°$

$$\begin{gathered} \mathbf{Construction}\mathbf{}\mathbf{of}\mathbf{}\mathbf{pie}\mathbf{}\mathbf{chart} \\ \mathrm{Steps}\mathrm{of}\mathrm{construction}: \\ 1.\mathrm{Draw}\mathrm{a}\mathrm{circle}\mathrm{of}\mathrm{any}\mathrm{convenient}\mathrm{radius}. \\ 2.\mathrm{Draw}\mathrm{a}\mathrm{horizontal}\mathrm{radius}\mathrm{of}\mathrm{this}\mathrm{circle}. \\ 3.\mathrm{Draw}\mathrm{sectors}\mathrm{whose}\mathrm{central}\mathrm{angles}\mathrm{are}150°,90°,85°\mathrm{and}35°. \\ 4.\mathrm{Shade}\mathrm{the}\mathrm{sectors}\mathrm{so}\mathrm{obtained}\mathrm{differently}\mathrm{and}\mathrm{label}\mathrm{each}\mathrm{one}\mathrm{of}\mathrm{them}. \\ \mathrm{Thus},\mathrm{we}\mathrm{obtain}\mathrm{the}\mathrm{required}\mathrm{pie}\mathrm{chart}\mathrm{as}\mathrm{shown}\mathrm{in}\mathrm{the}\mathrm{figure}\mathrm{below}. \end{gathered}$$