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The ratio of the outer and the inner perimeter of a circular path is 23 : 22. If the path is 5 metres wide, the diameter of the inner circle is :
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- 110 m
- 55 m
- 220 m
- 230 m
- 110 m
Correct Option: C
Let the shaded portion be the circular path.
Let the inner radius be r metres.
∴ Outer radius R = (r + 5) metres.
According to the question,
| = | ||||
| 2πr | 22 |
| ⇒ | = | |||
| r | 22 |
| ⇒ | = | |||
| r | 22 |
⇒ 23r = 22r + 110
⇒ r = 110 metres
∴ Diameter=2 × 110 = 220 metres
