একটি নিয়মিত বহুভুজের কর্ণের সংখ্যা নির্ণয় করুন যার প্রতিটি বহিঃস্থ কোণ 24° হয়। 

  1. 45
  2. 36
  3. 90
  4. 60

Answer (Detailed Solution Below)

Option 3 : 90
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Detailed Solution

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প্রদত্তঃ প্রতিটি বহিঃস্থ কোণ 24 °

ধারণা:

একটি নিয়মিত বহুভুজের বহিঃস্থ কোণগুলির যোগফল = 360°

ব্যবহৃত সূত্র:
একটি নিয়মিত বহুভুজের প্রতিটি বহিঃস্থ কোণ = 360/n

এবং

কর্ণের সংখ্যা = n(n – 3)/2

যেখানে n = বাহুর সংখ্যা

গণনা:

বাহুর সংখ্যা = 360/24 = 15

সুতরাং,

কর্ণের সংখ্যা = (15 × 12) / 2 = 90
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