দুটি বৃত্তের পরিধি যথাক্রমে 198 সেমি এবং 352 সেমি। তাদের ব্যাসার্ধর মধ্যে পার্থক্য কি?

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

Answer (Detailed Solution Below)

Option 4 : 24.5 সেমি
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প্রদত্ত:

দুটি বৃত্তের পরিধি যথাক্রমে 198 সেমি এবং 352 সেমি।

ব্যবহৃত ধারণা:

দুটি বৃত্তের পরিধি = 2πr

যেখানে, r = ব্যাসার্ধ

গণনা:

ধরা যাক দুটি বৃত্তের ব্যাসার্ধ হল r 1 এবং r 2

প্রশ্ন অনুযায়ী,

2πr 2 -   2πr 1 = 352 - 198

⇒ 2π(r 2 -   r 1 ) = 154

⇒ π(r 2 -   r 1 ) = 77

⇒ আর 2 -   r 1 = 77 × 7/22

⇒ আর 2 -   r1 = 49/2

⇒ আর 2 -   r 1 = 24.5

প্রয়োজনীয় উত্তর হল 24.5 সেমি

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