Question

The following table gives the number of different fruits kept in a hamper.

Type of fruit	Mangoes	Apples	Oranges	Coconuts	Pomegranates
Number	26	30	21	5	8

Represent the above data by a pie chart.

Answer 1

$$\begin{gathered} \mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{fruits}=\left(26+30+21+5+8\right)=90 \\ \mathrm{Central}\mathrm{angle}\mathrm{of}\mathrm{each}\mathrm{fruit}=\left(\frac{\mathrm{number}\mathrm{of}\mathrm{each}\mathrm{type}\mathrm{of}\mathrm{fruit}}{\mathrm{total}\mathrm{number}\mathrm{of}\mathrm{fruits}}\times 360\right)° \\ \mathbf{Calculation}\mathbf{}\mathbf{of}\mathbf{}\mathbf{central}\mathbf{}\mathbf{angles} \end{gathered}$$

Types of fruit	Number	Central angle
Mangoes	26	$104°$
Apples	30	$120°$
Oranges	21	$84°$
Coconuts	5	$20°$
Pomegranates	8	$32°$

$$\begin{gathered} \mathbf{Construction}\mathbf{}\mathbf{of}\mathbf{}\mathbf{pie}\mathbf{}\mathbf{chart} \\ \mathrm{Steps}\mathrm{of}\mathrm{construction}: \\ 1.\mathrm{Draw}\mathrm{a}\mathrm{circle}\mathrm{of}\mathrm{any}\mathrm{convenient}\mathrm{radius}. \\ 2.\mathrm{Draw}\mathrm{a}\mathrm{horizontal}\mathrm{radius}\mathrm{of}\mathrm{the}\mathrm{circle}. \\ 3.\mathrm{Draw}\mathrm{sectors}\mathrm{whose}\mathrm{central}\mathrm{angles}\mathrm{are}104°,120°,84°,20°\mathrm{and}32°. \\ 4.\mathrm{Shade}\mathrm{the}\mathrm{sectors}\mathrm{so}\mathrm{obtained}\mathrm{differently}\mathrm{and}\mathrm{label}\mathrm{each}\mathrm{one}\mathrm{of}\mathrm{them}. \\ \mathrm{Thus},\mathrm{we}\mathrm{obtain}\mathrm{the}\mathrm{required}\mathrm{pie}\mathrm{chart}\mathrm{as}\mathrm{shown}\mathrm{in}\mathrm{the}\mathrm{figure}\mathrm{below}. \end{gathered}$$