108°কেন্দ্রীয় কোণ সহ 7 সেমি ব্যাসের একটি বৃত্তের খন্ডকের চাপের দৈর্ঘ্য নির্ণয় করুন। [π = 22/7 ব্যবহার করুন]

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SSC CGL 2023 Tier-I Official Paper (Held On: 19 Jul 2023 Shift 1)
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  1. 6.6 সেমি
  2. 5.6 সেমি
  3. 13.2 সেমি
  4. 11.2 সেমি

Answer (Detailed Solution Below)

Option 1 : 6.6 সেমি
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Detailed Solution

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প্রদত্ত:

ব্যাস = 7 সেমি

কেন্দ্রীয় কোণ = 108°

অনুসৃত সূত্র:

চাপের দৈর্ঘ্য = θ/360° × 2πr

গণনা:

চাপের দৈর্ঘ্য = 108° /360° × 2 × 22/7 × 7/2

⇒ 2 × 11 × 108°/360°

⇒ 2 × 11 × 12/40

⇒ 11 × 3/5

⇒ 33/5 = 6.6 সেমি

∴ সঠিক উত্তর হল 6.6 সেমি।

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