5037’30” चे मूल्य = ___ रेडियन मध्ये

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ALP CBT 2 Physics and Maths Previous Paper 2 (Held On: 21 Jan 2019 Shift 2)
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  1. π / 2
  2. π / 6
  3. π / 32
  4. π / 3

Answer (Detailed Solution Below)

Option 3 : π / 32
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Detailed Solution

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संकल्पना:

π रेडियन = 180°

1° = (π / 180°) रेडियन

गणना​:

5°37’30” = 5° + 37° / 60° + 30° / 3600°

⇒ (600° + 74° + 1°) / 120°

⇒ 45° / 8°

45° / 8° = (π / 180°) × 45° / 8°

∴ 5°37’30” = 45° / 8° = π / 32

महत्वाचे मुद्दे:

अंश पूर्णांक संख्या आणि दशांश संख्यांद्वारे दर्शविले जातात आणि जेव्हा ते दशांश असतात तेव्हा दशांश भाग बेस-60 असतो (उदाहरणार्थ, मिनिटे आणि सेकंदांप्रमाणे)

1’ = 1° / 60° आणि 1” = 1° / (60° × 60°)

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