Question
Download Solution PDFబహుభుజి యొక్క అంతర్గత కోణాల మొత్తం 21600 అయిన దాని భుజాల సంఖ్యను కనుగొనండి?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇచ్చిన దత్తాంశం:
అన్ని అంతర్గత కోణాల మొత్తం = 2160°
ఉపయోగించిన సూత్రం:
బహుభుజి యొక్క అంతర్గత కోణాల మొత్తం = (n - 2) × 180°
ఇక్కడ 'n' అనేది బహుభుజి యొక్క భుజాల సంఖ్య.
సాధన:
∵ బహుభుజి యొక్క అన్ని కోణాల మొత్తం = 2160°
⇒ (n - 2) × 180° = 2160°
⇒ n - 2 = 2160°/180°
⇒ n - 2 = 12
⇒ n = 12 + 2
⇒ n = 14
Last updated on Jul 5, 2025
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