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Question

The pie chart(as shown in figure 25.23) represents the amount spent on different sports by a sport club in a year. If the total money spent by the club on sports is $$Rs1,08,000,$$ find the amount spent on each sport.
1673978_bb26784f08b348dbb98b72b27cf3f7f8.png


Solution

Money spent on cricket $$=\dfrac{central\,angle\,of\,the \,sector\times\,total\,money \,spent}{{360}^{\circ}}  =\dfrac{{150}^{\circ}\times{108000}^{\circ}}{{360}^{\circ}}= 45,000$$ rupees
Money spent on hockey $$=\dfrac{central\,angle\,of\,the \,sector\times\,total\,money \,spent}{{360}^{\circ}}  =\dfrac{{100}^{\circ}\times{108000}^{\circ}}{{360}^{\circ}}=30,000$$ rupees
Money spent on football $$=\dfrac{central\,angle\,of\,the \,sector\times\,total\,money \,spent}{{360}^{\circ}}  =\dfrac{{60}^{\circ}\times{108000}^{\circ}}{{360}^{\circ}}= 18,000$$ rupees
Money spent on cricket$$=\dfrac{central\,angle\,of\,the \,sector\times\,total\,money \,spent}{{360}^{\circ}}  =\dfrac{{50}^{\circ}\times{108000}^{\circ}}{{360}^{\circ}}=15,000$$ rupees


Mathematics

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