6 सेमी भुजा वाले नियमित षट्कोण के परिवृत्त और अन्तः वृत्त के क्षेत्रफलों का अनुपात ज्ञात कीजिए।

  1. 3 ∶ 4
  2. 4 ∶ 5
  3. 1 ∶ 3
  4. 4 ∶ 3

Answer (Detailed Solution Below)

Option 4 : 4 ∶ 3
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Detailed Solution

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परिवृत्त की त्रिज्या, R = 6 सेमी

अन्तः वृत्त की त्रिज्या, r = √3(6)/2 = 3√3 सेमी

∴ परिवृत्त का क्षेत्रफल/अन्तःवृत्त का क्षेत्रफल = πR2/πr2 = 62/(3√3)2 = 4/3

∴ अनुपात 4 ∶ 3 है।

05.05.2018.0.05

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