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Question

The ratio of the outer and he inner perimeters of a circular path is  23 : 22 . If the path is 5 metres wide , the diameter of the inner circle is  :


Options:
A .  55 m
B .  110 m
C .  220 m
D .  230 m
Answer: Option C

`(2 pi R_1) / (2 pi R_2) = 23/22`

`hArr  R_1/R_2 = 23/22`

`hArr  R_1 = 23/22  R_2`

Also ,` R_1 - R_2 = 5 m.`

`hArr  (23 R_2)/(22) - R_2 = 5`

`hArr  R_2 = 110`

`:.`  Diameter of inner circle = (2 x 110) m = 220 m.




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