O केंद्र वाले एक वृत्त की त्रिज्या 6 सेमी है और एक त्रिज्यखंड का केंद्रीय कोण 40° है। त्रिज्यखंड का क्षेत्रफल ज्ञात कीजिए।

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SSC CGL 2022 Tier-I Official Paper (Held On : 08 Dec 2022 Shift 4)
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  1. 6π सेमी2
  2. 5π सेमी2
  3. 4π सेमी2
  4. 8π सेमी2

Answer (Detailed Solution Below)

Option 3 : 4π सेमी2
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Detailed Solution

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दिया गया है:

वृत्त की त्रिज्या = 6 सेमी

एक त्रिज्यखंड का केंद्रीय कोण = 40°

Screenshot 2023-02-22 195223

प्रयुक्त सूत्र:

त्रिज्यखंड का क्षेत्रफल \(\theta \over 360°\) × πr2

गणना:

दिए गए त्रिज्यखंड का क्षेत्रफल  \(40° \over 360°\) × π × (6 सेमी)2  

⇒ (\(1 \over 9\)× π × 36) सेमी2

⇒ (π × 4) सेमी2

⇒ 4π सेमी2

∴ त्रिज्यखंड का क्षेत्रफल 4π सेमी2 है।

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