A survey of students was made to know which game they like. The data obtained in the survey is presented in the following pie diagram. If the total number of students are 1000,

(1) how many students like cricket ?
(2) how many studetns like football ?
(3) how many students prefer other games ?

Answer

Students who like cricket are 225; Students who like football are 175; Students who prefer other games are 200.

Explanation

(1) Let the students who like cricket be x.
The central angle for cricket is `81^(@)`.
The central angle
` = "The students liking cricket"/"Total number of students " xx 360^(@)`
` :. 81^(@) = x/1000 xx 360^(@)" " :. X = (81 xx 1000)/(360)`
` :. x = 225`.
(2) Let the students who like football be y.
The central angle
` = "The students liking football"/"Total number of students " xx 360^(@)`
` :. 63^(@) = y/1000 xx 360^(@) " " :. y = (63 xx 1000)/(360)`
` :. y = 175`.
(3) Let the students who prefer other games be z.
` = "The students preferring other games"/"Total number of students " xx 360^(@)`
` :. 72^(@) = z/1000 xx 360^(@) " ":. z = (72 xx 1000)/(360)`
` :. ` z = 200 .