The pie diagram in figure, shows the proportions of different workers in a town. Answer the following questions with its help .

(1) If the total number of workers is `10,000`, how many of them are in the field of construction ?
(2) How many workers are working in the administration ?
(3) What is the percentage of workers in the production ?

Answer

(1) 2000 workers (2) 1000 workers (3) 25%

Explanation

(1) Let x worker are in the field of construction .
The central angle for construction
` = "Workers in the field of construction"/"the total number of workers " xx 360^(@)`
` :. 72^(@) = x/(10000) xx 360^(@)`
` :. X = (72 xx 10000)/(360) :. x = 2000` ....(1)
(2) Let y workers are working in the administration.
The central angle for administration.
` = "the workers in administration "/"the total number of workers " xx 360^(@)`
` :. 36^(@) = y/(10000) xx 360^(@)`
` :. y = (36 xx 10000)/(360^(@)) :. y = 1000` ....(2)
(3) The central angle for the workers in production is given to be `90^(@)` .
The percentage of workers in production
` = 90^(@)/(360^(@)) xx 100 = 1/4 xx 100 = 25%` .....(3)