Practice Set 2 Question 124
Question: The ratio of the outer and the inner perimeter of a circular path is 23 : 22. If the path is 5 m wide, the diameter of the inner circle is
Options:
A) 110 m
B) 55 m
C) 220 m
D) 230 m
Show Answer
Answer:
Correct Answer: C
Solution:
$ \therefore $ $ \frac{2\pi r_2}{2\pi r_1}=\frac{23}{22} $
$ \Rightarrow $ $ \frac{r_2}{r_1}=\frac{23}{22} $ Let $ r_1=22x,m $ and $ r_2=23x,m $
$ \therefore $ $ r_1-r_2=5 $
$ \Rightarrow $ $ x=5,m $
$ \therefore $ Inner radius $ =22\times 5=110,m $
$ \therefore $ Required diameter $ =110\times 2=220,m $
BETA
