Published by:
CGP EDU Academic Team
Published on: September 12, 2026
Find the radian measures corresponding to the following degree measures.
(i) 25 
(ii) 
(iii) 
Text Solution
Verified by ExpertsThe correct answer is:
B
To convert degrees to radians, use the formula:
radians = degrees × (π / 180)
(i) For 25 degrees:
Radians = 25 × (π / 180) = \frac{25\pi}{180} = \frac{5\pi}{36}
(ii) For -47°30':
Convert -47°30' to degrees: -47° - 30' / 60 = -47.5°
Radians = -47.5 × (π / 180) = -\frac{47.5\pi}{180} = -\frac{19\pi}{72}
(iii) For 39°22'30'':
Convert: 39° + 22'/60 + 30''/3600 = 39.375°
Radians = 39.375 × (π / 180) = \frac{39.375\pi}{180} = \frac{315\pi}{1440}
Therefore, the correct match is for option B: -47°30' corresponds to -\frac{19\pi}{72} in radians.
radians = degrees × (π / 180)
(i) For 25 degrees:
Radians = 25 × (π / 180) = \frac{25\pi}{180} = \frac{5\pi}{36}
(ii) For -47°30':
Convert -47°30' to degrees: -47° - 30' / 60 = -47.5°
Radians = -47.5 × (π / 180) = -\frac{47.5\pi}{180} = -\frac{19\pi}{72}
(iii) For 39°22'30'':
Convert: 39° + 22'/60 + 30''/3600 = 39.375°
Radians = 39.375 × (π / 180) = \frac{39.375\pi}{180} = \frac{315\pi}{1440}
Therefore, the correct match is for option B: -47°30' corresponds to -\frac{19\pi}{72} in radians.
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