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Mathematics
Problem
Two circles have radii
r
1
r_1
r
1
and
r
2
r_2
r
2
. An angular displacement of
θ
\theta
θ
radians is swept out in each circle. If
s
1
s_1
s
1
and
s
2
s_2
s
2
are the corresponding arc lengths, the ratio
s
1
s
2
\dfrac{s_1}{s_2}
s
2
s
1
is a)
r
2
r
1
\dfrac{r_2}{r_1}
r
1
r
2
b)
r
1
2
r
2
2
\dfrac{r_1^{2}}{r_2^{2}}
r
2
2
r
1
2
c)
r
1
r
2
\dfrac{r_1}{r_2}
r
2
r
1
d)
1
1
1
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