Question

$\text{The following table gives the number of different fruits kept in a hamper.}$

$\begin{array}{cccccc}\text{Type of fruit}& \text{Mangoes}& \text{Apples}& \text{Oranges}& \text{Coconuts}& \text{Pomegranates}\\ \text{Number}& 26& 30& 21& 5& 8\end{array}$

$\text{Represent the above data by a pie chart.}$

Answer 1

$\text{Total number of fruits = 26 + 30 + 21 + 5 + 8 = 90}$

$\begin{array}{ccc}\text{Type of fruit}& \text{Number of fruits}& \text{Central angle}\\ \text{Mangoes}& 26& \frac{26}{90}\times {360}^{\circ }={104}^{\circ }\\ \text{Apples}& 30& \frac{30}{90}\times {360}^{\circ }={120}^{\circ }\\ \text{Oranges}& 21& \frac{21}{90}\times {360}^{\circ }={84}^{\circ }\\ \text{Coconuts}& 5& \frac{5}{90}\times {360}^{\circ }={20}^{\circ }\\ \text{Pomegranates}& 8& \frac{8}{90}\times {360}^{\circ }={32}^{\circ }\\ \text{Total}& 90& {360}^{\circ }\end{array}$

$\text{(i) Draw a circle with a suitable radius.}\text{(ii) Draw a horizontal radius.}\text{(iii) Starting from this radius, draw sectors of central angles}{104}^{\circ },{120}^{\circ },{84}^{\circ },{20}^{\circ }and{32}^{\circ }\text{respectively.}\text{(iv) Shade these sectors with different colours or designs as shown in the figure.}$