Question

The marks obtained by Sudhir in an examination are given below:

Subject	English	Hindi	Mathematics	Science	Social science
Marks obtained	105	75	150	120	90

Represent the above data by a pie chart.

Answer 1

$$\begin{gathered} \mathrm{Total}\mathrm{marks}\mathrm{obtained}=\left(105+75+150+120+90\right)=540 \\ \mathrm{Central}\mathrm{angle}\mathrm{of}\mathrm{each}\mathrm{subject}=\left(\frac{\mathrm{marks}\mathrm{obtained}\mathrm{in}\mathrm{each}\mathrm{subject}}{\mathrm{total}\mathrm{marks}\mathrm{obtained}}\times 360\right)° \\ \mathbf{Calculation}\mathbf{}\mathbf{of}\mathbf{}\mathbf{central}\mathbf{}\mathbf{angles} \end{gathered}$$

Subject	Marks obtained	Central angle
English	105	$70°$
Hindi	75	$50°$
Mathematics	150	$100°$
Science	120	$80°$
Social science	90	$60°$

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