The Pie diagram given below depicts that 1000 workers of a factory, who travel from their homes to work place using different modes of travelling. Read it and answer the following questions. i) How many workers travel by train than bus? ii) What percent of the workers go to factory on foot? iii) Give the ratio of the percentage of workers that travel by train to the percentage that by cycle? iv) Find the square of the number of workers travel by bus. ( train- 144°, bus- 90°, on foot- 54°, cycle- 72°)
Answers 1
Answer:
Solution
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(a) Since, the highest central angle is 120
0
is of the bus
hence, the most common mode of transport is the bus.
(b) Fraction of children traveling by car =
total angle
angle covered by car section
=
360
0
90
0
=
4
1
(c) No. of children traveling by car = Fraction of children traveling by car× Total no of children.
⇒18=
4
1
× Total no of children...... from (b)
⇒ Total no of children = 18×4
⇒ Total no of children = 72
(d) Central angle of children who do not take taxi = 120
0
+90
0
+60
0
+60
0
⇒ Central angle of students who do not take taxi = 330
0
⇒ Central angle of students who do take taxi = 360
0
−330
0
=30
0
No . of children traveling by taxi =
360
0
30
0
× Total no of children
⇒ No children traveling by taxi =
360
0
30
0
×72=6
(e) The central angle for students traveling by cycle and those who walk is the same.
Thus, the two modes of transport are an equal number of children traveling are cycle and walking.
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