Answer:
(a) Since, the highest central angle 120⁰ is of the bus
hence , the most common mode of transport is the bus.
(b) Fraction of children travelling by car =
angle covered by car section
--------------------------------------------
total angle
= 90⁰ 1
--------- = ---------
360⁰ 4
(c) No. of children travelling by car = Fraction of children travelling by car× Total no of children.
1
= 18 = ----- × Total no. of children.......from(b)
4
⇒ Total no of children = 18×4
⇒ Total no of children = 72
(d) Central angle of children who do not take texi = 120⁰ +90⁰ +60⁰+60⁰
⇒ Central angle of students who do not take taxi = 330⁰
⇒ Central angle of students who do take taxi = 360⁰ −330⁰ =30⁰
30⁰
No . of children travelling by taxi = --------- × Total no of children
360⁰
30⁰
⇒ No of children travelling by taxi = --------- × 72 = 6
360⁰
(e) The central angle for students travelling by cycle and those who walk is same.
Thus , the two modes of transport are equal number of children travelling are cycle and walk.
Step-by-step explanation:
hope it's helpful to you
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