एक घड़ी की मिनट की सूई 2 सेमी लंबी है। 45 मिनट में इसकी नोक कितनी दूर चलती है?  (π = 3.14 का प्रयोग करें) 

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AAI ATC Junior Executive 25 March 2021 Official Paper (Shift 3)
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  1. 3.14 सेमी
  2. 12.56 सेमी
  3. 6.28 सेमी
  4. 9.42 सेमी

Answer (Detailed Solution Below)

Option 4 : 9.42 सेमी
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दिया गया है:

एक घड़ी की मिनट की सूई 2 सेमी लंबी है।

प्रयुक्त सूत्र:

चाप की लंबाई, l = r × θ 

l = चाप की लंबाई (रेडियन में)

r = त्रिज्या

θ = रेडियन में केंद्रीय कोण

1° = πc/180 

गणना:

हम जानते हैं कि,

मिनट की सुई से 60 मिनट में कोण का पता लगाया जाता है = (2π)c

मिनट की सुई से 45 मिनट में कोण का पता लगाया जाता है =  

⇒ r = 2 सेमी और θ = 

⇒ l = r × θ 

⇒ l = 

⇒ l = 3 π 

⇒ l = 3 × 3.14

⇒ l = 9.42

∴ इसकी नोक 45 मिनट में 9.42 सेमी चलती है।

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