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The ratio of the outer and inner perimeters of a circular path is 23:22. If the path is 5 metres wide, the diameter of the inner circle
Given: - Ratio of outer to inner perimeter = 23:22, - Width of path = 5 m. From ratio: R/r = 23/22 ⇒ R = (23/22)r. Width: R - r = 5 ⇒ (23/22)r - r = 5. Simplify: (1/22)r = 5 ⇒ r = 5 × 22 = 110 m. Diameter of inner circle = 2r = 2 × 110 = 220 m. This question related to Chapter 11 Mathematics Class 1Read more
Given:
– Ratio of outer to inner perimeter = 23:22,
– Width of path = 5 m.
From ratio: R/r = 23/22 ⇒ R = (23/22)r.
Width: R – r = 5 ⇒ (23/22)r – r = 5.
Simplify:
(1/22)r = 5 ⇒ r = 5 × 22 = 110 m.
Diameter of inner circle = 2r = 2 × 110 = 220 m.
This question related to Chapter 11 Mathematics Class 10th NCERT. From the Chapter 11 Area related to Circle. Give answer according to your understanding.
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