రెండు వృత్తాల చుట్టుకొలత వరుసగా 198 సెం.మీ మరియు 352 సెం.మీ. వాటి వ్యాసార్థాల మధ్య భేదం ఏమిటి?

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SSC CGL 2022 Tier-I Official Paper (Held On : 01 Dec 2022 Shift 1)
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  1. 45 సెం.మీ
  2. 16.5 సెం.మీ
  3. 49.5 సెం.మీ
  4. 24.5 సెం.మీ

Answer (Detailed Solution Below)

Option 4 : 24.5 సెం.మీ
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Detailed Solution

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ఇచ్చిన దత్తాంశం:

 

రెండు వృత్తాల చుట్టుకొలత వరుసగా 198 సెం.మీ మరియు 352 సెం.మీ.

 

ఉపయోగించిన భావన:

 

రెండు వృత్తాల చుట్టుకొలత = 2πr

 

ఇక్కడ, r = వ్యాసార్థం

 

లెక్కింపు:

 

రెండు వృత్తాల వ్యాసార్థం r1 & r2గా అనుకొనిన

 

ప్రశ్న ప్రకారం,
 

2πr- 2πr1 = 352 - 198

⇒ 2π(r- r1) = 154

⇒ π(r- r1) = 77

⇒ r- r1 = 77 × 7/22

⇒ r- r1 = 49/2

⇒ r- r1 = 24.5

∴ అవసరమైన సమాధానం 24.5 సెం.మీ

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