The ratio of areas of two regular polygons with same number of sides is 4 : 9. What is the ratio of their side lengths?
The ratio of areas of two regular polygons with same number of sides is 4 : 9. What is the ratio of their side lengths?
समान भुजाओं वाले दो समबहुभुजों के क्षेत्रफलों का अनुपात 4 : 9 है। उनकी भुजाओं की लंबाइयो का अनुपात क्या होगा?
Detailed Solution & Logic
Correct Answer:
2 : 3
Given:
Ratio of areas = $4 : 9$
Let the ratio of side lengths = $a : b$
Then,
$ \frac{a^2}{b^2} = \frac{4}{9} $
Taking square root,
$ \frac{a}{b} = \frac{2}{3} $
Final Answer: 2 : 3
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