Question

$\text{The following table shows the percentages of buyers of four different brands of bathing soaps.}$

$\begin{array}{ccccc}\text{Brand}& A& B& C& D\\ \text{Percentage of buyers}& 20\%& 40\%& 25\%& 15\%\end{array}$

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

Answer 1

$\text{Total percentage = 20 + 40 + 25 + 15 =}100\%$

$\begin{array}{ccc}\text{Brand}& \text{Percentage of buyers}& \text{Central angle}\\ A& 20& \frac{20}{100}\times {360}^{\circ }={72}^{\circ }\\ B& 40& \frac{40}{100}\times {360}^{\circ }={144}^{\circ }\\ C& 25& \frac{25}{100}\times {360}^{\circ }={90}^{\circ }\\ D& 15& \frac{15}{100}\times {360}^{\circ }={54}^{\circ }\\ \text{Total}& 100& {360}^{\circ }\end{array}$

$\text{(i) Draw a circle with a suitable radius.}\text{(ii) Draw a horizontal radius.}\text{(iii) Starting from this radius, draw sectors of central angles}{72}^{\circ },{144}^{\circ },{90}^{\circ },and{54}^{\circ }\text{respectively.}\text{(iv) Now shade these sectors with different colours or designs as shown in the figure.}$