108° కేంద్ర కోణంతో 7 సె౦.మీ వ్యాసం కలిగిన వృత్తం యొక్క సెక్టార్ యొక్క ఆర్క్ యొక్క పొడవును కనుగొనండి. [π = 22/7 ఉపయోగించండి]

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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 సెం.మీ
  2. 5.6 సెం.మీ
  3. 13.2 సెం.మీ
  4. 11.2 సెం.మీ

Answer (Detailed Solution Below)

Option 1 : 6.6 సెం.మీ
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Detailed Solution

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ఇచ్చింది:

వ్యాసం = 7 సెం.మీ.

కేంద్ర కోణం = 108°

ఉపయోగించిన ఫార్ములా:

ఆర్క్ యొక్క పొడవు = θ/360° × 2πr

గణన:

చాపం యొక్క పొడవు = 108° /360° × 2 × 22/7 × 7/2

⇒ 2 × 11 × 108°/360°

⇒ 2 × 11 × 12/40

⇒ 11 × 3/5

⇒ 33/5 = 6.6 సెం.మీ.

సరైన సమాధానం 6.6 సెం.మీ.

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