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प्रश्न
In the given figure, the pie diagram represents the amount spent on different sports by a school administration in a year. If the money spent on football is ₹ 9,000, answer the following questions:
- What is the total amount spent on sports?
- What is the amount spent on cricket?
उत्तर
a Let total amount spent on sports be x.
Central angle for football = 45°
Amount spent on football = 9,000
`"Central angle" = ("Amount spent on football" xx 360)/"Total amount spent on sports"`
`45 = (9,000 xx 360)/45`
x = 200 × 360
x = 72,000
Total amount spent on sports is 72,000.
b. Let amount spent on cricket by y.
Central angle for cricket = 160°
Total amount spent on sports = ₹72,000
`"Central angle" = "Amount spent on cricket"/"Total amount spent on sports" xx 360`
`160 = y/72000 xx 360`
`y = (160 xx 72000)/360`
y = ₹32,000
Amount spent on cricket is ₹32,000
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