Question

Express the following into radians. 120° 40"​

Answer 1

Answer:

120degrees 40 minutes

Answer 2

Step-by-step explanation:

1° = 0.0175 radians --------(1)

Also, 1° = 60' & 1' = 60"

=> 1° = 3600" ----------(2)

=> 120° = 120 x 3600 = 432000"

=> 120° 40" = 432040"

from (1) & (2) we get,

0.0175 radians = 3600"

=> 432040" = 432040 x 0.0175 / 3600

=> 120°40" = 10801 x 0.0175 / 90

=> 120°40" = 2.100194 radians (approximately)