Question

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:

1. What is the total amount spent on sports?
2. What is the amount spent on cricket?

Answer 1

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