Angles in DMS(Degrees Minutes Seconds), Decimal and Radian (θ)

Degree 1/360 of the circumference of a circle.
Minute 1/60 of a degree
Second 1/60 of a minute

Angles in decimal notation can be converted to Degree, Minute, Second(DMS).
The whole number will remain the degrees, the decimal will be multiplied by 60(minutes in degree then 60 seconds in minute) :

64.8° =>
a) 64° + (0.8*60) =>
64°45'

31.37° =>
a) 31° + (0.37*60)' =>
b) 31° + (22.2)' =>
c) 31° + 22' + (0.2*60)" =>
31°22'12"

Reverse can be done to take DMS to decimal format :

79°19' =>
a) 79 + (19/60) =>
b) 79 + 0.3166... (round to tenths) =>
79.3°

59°23'17" =>
a) 59 + (23/60) + (17/3600) =>
59.39°


Examples of operations concerning numbers in DMS format:
1/4(40°24') = 10°6'

1/2(139°26') =>
a) 69.5° + 13' =>
b) 69° + (0.5*60)' + 13' =>
69°43'

1/4(71°17') =>
a) 17.75° + 4.25' =>
b) 17° + (0.75*60)' + 4' + (0.25*60)" =>>
17°49'15"

Radians (θ) (Converting between degrees and radians)

Π = 3.14159
1 radian = 180°/Π => 57.296° => 57°17'45"
1 degree = Π/180θ