Question

The pie chart (as shown in the figure 25.23) represents the amount spent on different sports by a sports club in a year. If the total money spent by the club on sports is Rs 1,08,000, find the amount spent on each sport.

Answer 1

$$\begin{gathered} \mathrm{Amount}\mathrm{spent}\mathrm{on}\mathrm{cricket}=\frac{\mathrm{Central}\mathrm{angle}\mathrm{of}\mathrm{the}\mathrm{corresponding}\mathrm{sector}\times \mathrm{Total}\mathrm{Money}\mathrm{spent}}{360°} \\ =\frac{150°\times 108000}{360°}=\mathrm{Rs}45,000 \\ \mathrm{Amount}\mathrm{spent}\mathrm{on}\mathrm{hockey}=\frac{\mathrm{Central}\mathrm{angle}\mathrm{of}\mathrm{the}\mathrm{corresponding}\mathrm{sector}\times \mathrm{Total}\mathrm{Money}\mathrm{spent}}{360°} \\ =\frac{100°\times 108000}{360°}=\mathrm{Rs}30,000 \\ \mathrm{Amount}\mathrm{spent}\mathrm{on}\mathrm{football}=\frac{\mathrm{Central}\mathrm{angle}\mathrm{of}\mathrm{the}\mathrm{corresponding}\mathrm{sector}\times \mathrm{Total}\mathrm{Money}\mathrm{spent}}{360°} \\ =\frac{60°\times 108000}{360°}=\mathrm{Rs}18,000 \\ \mathrm{Amount}\mathrm{spent}\mathrm{on}\mathrm{tennis}=\frac{\mathrm{Central}\mathrm{angle}\mathrm{of}\mathrm{the}\mathrm{corresponding}\mathrm{sector}\times \mathrm{Total}\mathrm{Money}\mathrm{spent}}{360°} \\ =\frac{50°\times 108000}{360°}=\mathrm{Rs}15,000 \end{gathered}$$