If the number of diagonals of a regular polygon is 27, then the number of sides is :यदि एक नियमित बहुभुज में विकर्णों की संख्या 27 हो, तो इसकी भुजाओं की संख्या होगी :

1. A6
2. B9
3. C10
4. D12

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Correct answer: B. 9

Explanation

Number of diagonals of an n-sided polygon = n(n - 3)/2. So n(n - 3)/2 = 27 gives n(n - 3) = 54 = 9 x 6, hence n = 9. Hence the answer is 9.n भुजाओं वाले बहुभुज के विकर्णों की संख्या = n(n - 3)/2। अतः n(n - 3)/2 = 27 से n(n - 3) = 54 = 9 x 6, इसलिए n = 9। अतः उत्तर 9 है।