Question

$\text{The data given below shows number of hours spent by a school boy on different activities on a working day.}$

$\begin{array}{ccccccc}\text{Activity}& \text{School}& \text{Homework}& \text{Play}& \text{Sleep}& \text{Other}& \text{Total}\\ \text{Number of hours}& 7& 4& 2& 8& 3& 24\end{array}$

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

Answer 1

$\text{Total number of hours = 7 + 4 + 2 + 8 + 3 = 24}$

$\begin{array}{ccc}\text{Activity}& \text{Number hours}& \text{Central angle}\\ \text{School}& 7& \frac{7}{24}\times {360}^{\circ }={105}^{\circ }\\ \text{Homework}& 4& \frac{4}{24}\times {360}^{\circ }={60}^{\circ }\\ \text{Play}& 2& \frac{2}{24}\times {360}^{\circ }={30}^{\circ }\\ \text{Sleep}& 8& \frac{8}{24}\times {360}^{\circ }={120}^{\circ }\\ \text{Others}& 3& \frac{3}{24}\times {360}^{\circ }={45}^{\circ }\\ \text{Total}& 24& {360}^{\circ }\end{array}$

$\text{(i) Draw a circle with a suitable radius.}\text{(ii) Draw a horizontal radius.}\text{(iii) Starting from this radius, draw sectors whose actual angles are}{105}^{\circ },{60}^{\circ },{30}^{\circ },{120}^{\circ }and{45}^{\circ }\text{respectively.}\text{(iv) Now shade each sector with different colour or design as shown in the figure.}$