Question

Various modes of transport used by 1260 students in a given school are given below:

School bus	Private bus	Bicycle	Rickshaw	On foot
350	245	210	175	280

Represent the above data by a pie chart.

Answer 1

$$\begin{gathered} \mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{students}=1260 \\ \mathrm{Central}\mathrm{angle}\mathrm{of}\mathrm{each}\mathrm{component}=\left(\frac{\mathrm{number}\mathrm{of}\mathrm{students}\mathrm{using}\mathrm{that}\mathrm{mode}}{\mathrm{total}\mathrm{number}\mathrm{of}\mathrm{students}}\times 360\right)° \\ \mathbf{Calculation}\mathbf{}\mathbf{of}\mathbf{}\mathbf{central}\mathbf{}\mathbf{angles} \end{gathered}$$

Mode of transport	Number of students	Central angle
School bus	350	$100°$
Private bus	245	$70°$
Bicycle	210	$60°$
Rickshaw	175	$50°$
On foot	280	$80°$

$$\begin{gathered} \mathbf{Construction}\mathbf{}\mathbf{of}\mathbf{}\mathbf{pie}\mathbf{}\mathbf{chart} \\ \mathrm{Steps}\mathrm{of}\mathrm{construction}: \\ 1.\mathrm{Draw}\mathrm{a}\mathrm{circle}\mathrm{of}\mathrm{any}\mathrm{convenient}\mathrm{radius}. \\ 2.\mathrm{Draw}\mathrm{a}\mathrm{horizontal}\mathrm{radius}\mathrm{of}\mathrm{this}\mathrm{circle}. \\ 3.\mathrm{Draw}\mathrm{sectors}\mathrm{whose}\mathrm{central}\mathrm{angles}\mathrm{are}100°,70°,60°,50°\mathrm{and}80°. \\ 4.\mathrm{Shade}\mathrm{the}\mathrm{sectors}\mathrm{so}\mathrm{obtained}\mathrm{differently}\mathrm{and}\mathrm{label}\mathrm{each}\mathrm{one}\mathrm{of}\mathrm{them}. \\ \mathrm{Thus},\mathrm{we}\mathrm{obtain}\mathrm{the}\mathrm{required}\mathrm{pie}\mathrm{chart}\mathrm{as}\mathrm{shown}\mathrm{in}\mathrm{the}\mathrm{figure}\mathrm{below}. \end{gathered}$$