കോണീയ മാപനത്തിൽ, ഒരു റേഡിയൻ ________ ഡിഗ്രിക്ക് (ഏകദേശം) തുല്യമാണ്.

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RRB ALP Fitter 23 Jan 2019 Official Paper (Shift 3)
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  1. 65.27
  2. 57.27
  3. 90
  4. 180

Answer (Detailed Solution Below)

Option 2 : 57.27
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ആശയം:

കോണുകൾ അളക്കുന്നതിനുള്ള SI യൂണിറ്റാണ് റേഡിയൻ, കൂടാതെ ഗണിതശാസ്ത്രത്തിന്റെ പല മേഖലകളിലും ഉപയോഗിക്കുന്ന കോണീയ അളവിന്റെ മാനക യൂണിറ്റാണ്. ഒരു യൂണിറ്റ് വൃത്തത്തിന്റെ ഒരു ചാപത്തിന്റെ നീളം അതിന്റെ കീഴോട്ട് ഞാലുന്ന കോണിന്റെ റേഡിയനിലെ അളവിന് സംഖ്യാപരമായി തുല്യമാണ്.

ഇപ്പോൾ, π റേഡിയൻ = 180°

⇒ 1 റേഡിയൻ = 180°/π

⇒ 1 റേഡിയൻ = 180°/(22/7)

⇒ 1 റേഡിയൻ = 180° × (7/22) = 57.27°
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