Can someone answer this maths multiple choice question and explain it to me please
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Can someone answer this maths multiple choice question and explain it to me please

[From: ] [author: ] [Date: 11-08-15] [Hit: ]
42 cm = 1.i.e in 1 rotation of wheel the bicycle travelled 1.so to travel 100m the wheel turned approx 100/1.6342 =61.2(3.......
A bicycle wheel has a radius of 26 cm. If the bicycle has traveled 100 m, the wheel has turned approximately:

a) 122 times
b) 94 times
c) 61 times
d) 163 times
e) 47 times

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given radius r=26cm
so circumference C= 2*22/7*26 = 163.42 cm = 1.6342 m

i.e in 1 rotation of wheel the bicycle travelled 1.6342 m

so to travel 100m the wheel turned approx 100/1.6342 = 61.19

your option c is correct

-
find the circumference of the wheel using 2(pi)r

2(3.14)(26) = 163.28 cm

100m = 10,000cm

now divide the distance by the circumference:

10,000 / 163.28 = 61.7

so, the answer is C).

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The key is that one revolution of the wheel will travel a distance equal to the circumference.
C = 2(pi)r = 163.36 cm or 1.6336 m
If I divide 100 m by 1.6336 m/rev I get 61,2 or about 61 (c)
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