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.

Open in App
Solution

## $\mathrm{Amount}\mathrm{spent}\mathrm{on}\mathrm{cricket}=\frac{\mathrm{Central}\mathrm{angle}\mathrm{of}\mathrm{the}\mathrm{corresponding}\mathrm{sector}×\mathrm{Total}\mathrm{Money}\mathrm{spent}}{360°}\phantom{\rule{0ex}{0ex}}=\frac{150°×108000}{360°}=\mathrm{Rs}45,000\phantom{\rule{0ex}{0ex}}\mathrm{Amount}\mathrm{spent}\mathrm{on}\mathrm{hockey}=\frac{\mathrm{Central}\mathrm{angle}\mathrm{of}\mathrm{the}\mathrm{corresponding}\mathrm{sector}×\mathrm{Total}\mathrm{Money}\mathrm{spent}}{360°}\phantom{\rule{0ex}{0ex}}=\frac{100°×108000}{360°}=\mathrm{Rs}30,000\phantom{\rule{0ex}{0ex}}\mathrm{Amount}\mathrm{spent}\mathrm{on}\mathrm{football}=\frac{\mathrm{Central}\mathrm{angle}\mathrm{of}\mathrm{the}\mathrm{corresponding}\mathrm{sector}×\mathrm{Total}\mathrm{Money}\mathrm{spent}}{360°}\phantom{\rule{0ex}{0ex}}=\frac{60°×108000}{360°}=\mathrm{Rs}18,000\phantom{\rule{0ex}{0ex}}\mathrm{Amount}\mathrm{spent}\mathrm{on}\mathrm{tennis}=\frac{\mathrm{Central}\mathrm{angle}\mathrm{of}\mathrm{the}\mathrm{corresponding}\mathrm{sector}×\mathrm{Total}\mathrm{Money}\mathrm{spent}}{360°}\phantom{\rule{0ex}{0ex}}=\frac{50°×108000}{360°}=\mathrm{Rs}15,000\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}$

Suggest Corrections
1
Related Videos
Interpretation of Pie Charts
MATHEMATICS
Watch in App