Question

The monthly income of a family is Rs 14400. The monthly expenditure of the family on various items is given below.

Item	Rent	Food	Clothing	Education	Savings
Expenditure (in Rs)	4000	5400	2800	1800	400

Represent the above data by a pie chart.

Answer 1

$$\begin{gathered} \mathrm{Total}\mathrm{money}=\mathrm{Rs}14400 \\ \mathrm{Central}\mathrm{angle}\mathrm{of}\mathrm{each}\mathrm{component}=\left(\frac{\mathrm{value}\mathrm{of}\mathrm{each}\mathrm{component}}{\mathrm{sum}\mathrm{of}\mathrm{the}\mathrm{values}\mathrm{of}\mathrm{all}\mathrm{components}}\times 360\right)° \\ \mathbf{Calculation}\mathbf{}\mathbf{of}\mathbf{}\mathbf{central}\mathbf{}\mathbf{angles} \end{gathered}$$

Item	Expenditure (in rupees)	Central angle
Rent	4000	$100°$
Food	5400	$135°$
Clothing	2800	$70°$
Education	1800	$45°$
Savings	400	$10°$

$$\begin{gathered} \mathbf{Construction}\mathbf{}\mathbf{of}\mathbf{}\mathbf{pie}\mathbf{}\mathbf{chart} \\ \mathrm{Steps}\mathrm{of}\mathrm{construction}: \\ 1.\mathrm{Draw}\mathrm{a}\mathrm{circle}\mathrm{of}\mathrm{any}\mathrm{convenient}\mathrm{radius}. \\ 2.\mathrm{Draw}\mathrm{a}\mathrm{horizontal}\mathrm{radius}\mathrm{of}\mathrm{this}\mathrm{circle}. \\ 3.\mathrm{Draw}\mathrm{sectors}\mathrm{whose}\mathrm{central}\mathrm{angles}\mathrm{are}100°,135°,70°,45°\mathrm{and}10°. \\ 4.\mathrm{Shade}\mathrm{the}\mathrm{sectors}\mathrm{so}\mathrm{obtained}\mathrm{differently}\mathrm{and}\mathrm{label}\mathrm{each}\mathrm{one}\mathrm{of}\mathrm{them}. \\ \mathrm{Thus},\mathrm{we}\mathrm{obtain}\mathrm{the}\mathrm{required}\mathrm{pie}\mathrm{chart}\mathrm{as}\mathrm{shown}\mathrm{in}\mathrm{the}\mathrm{figure}\mathrm{below}. \end{gathered}$$