त्रिज्या 5 सेमी व कोन 60° (एक दशांश पूर्णांकांमध्ये) असलेल्या वर्तुळपाकळीचे क्षेत्रफळ शोधा.  

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SSC CGL 2023 Tier-I Official Paper (Held On: 17 Jul 2023 Shift 3)
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  1. 12.8 सेमी2
  2. 14.1 सेमी2
  3. 13.1 सेमी2
  4. 15.1 सेमी2

Answer (Detailed Solution Below)

Option 3 : 13.1 सेमी2
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Detailed Solution

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दिलेल्याप्रमाणे:

वर्तुळाची त्रिज्या = 5 सेमी 

केंद्रावर वर्तुळपाकळी द्वारे आंतरित कोन = 60°

वापरलेले सूत्र:

वर्तुळपाकळीचे क्षेत्रफळ = (π × R2 × θ)/360°

गणना:

वर्तुळपाकळीचे क्षेत्रफळ = (π × R2 × θ)/360°

⇒ (22/7) × (5)2 × 60°/360°

⇒ (22 × 25)/(7 × 6)

⇒ (11 × 25)/21 = 13.09 ≈ 13.1 सेमी2 

∴ योग्य उत्तर 13.1 सेमी2 आहे.

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