Question
Download Solution PDFযদি কোনও বহুভুজের বহিঃস্থ কোণ 45° হয়, তাহলে সেই বহুভুজের কর্ণের সংখ্যা নির্ণয় করুন।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
বহিঃস্থ কোণ = 45
অনুসৃত সূত্র:
বহিঃস্থ কোণ = (360°/n)
একটি n বাহুর বহুভুজের কর্ণের সংখ্যা = (n2 - 3n)/2
এখানে, n = বহুভুজের বাহুর সংখ্যার সমান
গণনা:
বহিঃস্থ কোণ = (360°/n)
⇒ 45° = (360°/n)
⇒ n = 8
এখন, একটি 'n' বাহুর বহুভুজের কর্ণের সংখ্যা
⇒ (n2 - 3n)/2
⇒ (64 - 24)/2
⇒ 20
∴ কর্ণের সংখ্যা 20
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