दो वृत्तों की परिधि क्रमशः 110 सेमी और 330 सेमी है। उनकी त्रिज्याओं के बीच कितना अंतर है?

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SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 1)
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  1. 70 सेमी
  2. 15 सेमी
  3. 46 सेमी
  4. 35 सेमी

Answer (Detailed Solution Below)

Option 4 : 35 सेमी
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दिया गया है:

दो वृत्तों की परिधि क्रमशः 110 सेमी और 330 सेमी है।

प्रयुक्त सूत्र:

वृत्त की परिधि  = 2πR (R = त्रिज्या)

गणना:

माना, बड़े और छोटे वृत्तों की त्रिज्याएँ क्रमशः R और r हैं।

इनकी त्रिज्याओं के बीच का अंतर = (R - r)

अवधारणा के अनुसार,

2πR - 2πr = 330 - 110

⇒ 2π(R - r) = 220

⇒ 44/7 × (R - r) =  220

⇒ (R - r) = (220 × 7)/44

⇒ (R - r) = 35

∴ इनकी त्रिज्याओं के बीच का अंतर 35 सेमी है।

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