एक वृत्त के त्रिज्यखंड का क्षेत्रफल 110 सेमी2 है और त्रिज्यखंड का केंद्रीय कोण 56° है, वृत्त की त्रिज्या क्या है? (π = 22/7 लीजिए)

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SSC CGL 2023 Tier-I Official Paper (Held On: 26 Jul 2023 Shift 2)
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  1. 35 सेमी
  2. 20 सेमी
  3. 25 सेमी
  4. 15 सेमी

Answer (Detailed Solution Below)

Option 4 : 15 सेमी
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दिया गया है:

एक वृत्त के त्रिज्यखंड का क्षेत्रफल 110 सेमी2 है और त्रिज्यखंड का केंद्रीय कोण 56° है

प्रयुक्त सूत्र:

त्रिज्यखंड का क्षेत्रफल = θ/360° πr2

गणना:

सूत्र के अनुसार,

⇒ 110 सेमी2 =  56°/360° πr2

⇒ r2 = 225

⇒  r = 15 सेमी

∴ सही विकल्प 4 है।

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