సమాన భుజాలు కలిగిన ఒక షడ్భుజి యొక్క ప్రతి భుజం పొడవు \(2\sqrt{3} \) సెం.మీ. ఇచ్చిన షడ్భుజి యొక్క వైశాల్యం ఎంత?

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RRB NTPC CBT 2 (Level-3) Official Paper (Held On: 17 June 2022 Shift 2)
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  1. 18 సెం.మీ2
  2. 54 సెం.మీ2
  3. \(18\sqrt{3} \) సెం.మీ2
  4. \(24\sqrt{3} \) సెం.మీ2

Answer (Detailed Solution Below)

Option 3 : \(18\sqrt{3} \) సెం.మీ2
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Detailed Solution

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ఇచ్చినవి:

షడ్భుజి యొక్క భుజం (a) = 2

ఉపయోగించిన సూత్రం:

⇒ షడ్భుజి యొక్క వైశాల్యం = (3√3 ) x a2.
2

గణన:

షడ్భుజి యొక్క వైశాల్యం

3√3 x (2√3)2
2

3√3 x (4x3) = 3√3 x (12)
2 2

3√3 x 6 = 18√3 సెం.మీ2.

∴ ఇచ్చిన షడ్భుజి యొక్క వైశాల్యం 18√3 సెం.మీ2.

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