Question

$\text{The marks obtained by Sudhir In an examination are given below}$ $\begin{array}{cccccc}\text{Subject}& \text{English}& \text{Hindi}& \text{Mathematics}& \text{Science}& \text{Social science}\\ \text{Marks obtained}& 105& 75& 150& 120& 90\end{array}$

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

Answer 1

$\text{Total marks obtained by Sudhir}\text{= 105 + 75 + 150 + 120 + 90 = 540}$

$\begin{array}{ccc}\text{Subject}& \text{Marks obtained}& \text{Central angle}\\ \text{English}& 105& \frac{105}{540}\times {360}^{\circ }={70}^{\circ }\\ \text{Hindi}& 75& \frac{75}{540}\times {360}^{\circ }={50}^{\circ }\\ \text{Mathematics}& 150& \frac{150}{540}\times {360}^{\circ }={100}^{\circ }\\ \text{Science}& 120& \frac{120}{540}\times {360}^{\circ }={80}^{\circ }\\ \text{Social science}& 90& \frac{90}{540}\times {360}^{\circ }={60}^{\circ }\\ \text{Total}& 540& ={360}^{\circ }\end{array}$

$\text{(i) Draw a circle with a suitable radius}\text{(ii) Draw a horizontal radius}\text{(iii) Starting from this radius, draw sectors whose central angles are}{70}^{\circ },{50}^{\circ },{100}^{\circ },{80}^{\circ }and{60}^{\circ }\text{respectively}\text{(iv) Now shade these sectors with different colours or designs as shown in the figure.}$