नियमित षटकोनाच्या प्रत्येक बाजूची लांबी \(2\sqrt{3} \) सेमी आहे. दिलेल्या षटकोनाचे क्षेत्रफळ किती आहे?

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  1. 18 सेमी2
  2. 54 सेमी2
  3. \(18\sqrt{3} \) सेमी2
  4. \(24\sqrt{3} \) सेमी2

Answer (Detailed Solution Below)

Option 3 : \(18\sqrt{3} \) सेमी2
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Detailed Solution

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दिले:

षटकोनाची बाजू (a) = 2

वापरलेले सूत्र:

⇒ षटकोनाचे क्षेत्रफळ = (3√3 ) xa 2 .
2

गणना:

षटकोनाचे क्षेत्रफळ

3√3 x (2√3) 2
2

3√3 x (4x3) = 3√3 x (12)
२ २

3√3 x 6 = 18√3 सेमी 2 .

∴ T हे दिलेल्या षटकोनाचे क्षेत्रफळ 18√3 सेमी 2 आहे.

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