Degree Calculator


An online calculator to add and subtract two angles given in degrees, minutes and seconds (DMS) form.

Table of Conversion Used in Degree Calculator

1 degree = 60 minutes
1 minute = 60 seconds.
1 degree = 3600 seconds

Examples in Degree Calculator

Example: A1 and A2 are two angles given by A1 = 45 34' 56" and A2 = 25 45' 39". Find A1 + A2 and A1 - A2.
Addition of two angles
Let S = A1 + A2 = 45 34' 56" + 25 45' 39"
add degrees together, minutes together and seconds together
S = (45 + 25) (34 + 45)' (56 + 39)" = 70 79' 95"
We now need to convert 79' to degrees : 79' = 1 19' and 95" to minutes: 95" = 1' 35" and substitute
S = 70 79' 95" = 70 + (1 19') + (1' 35") = 71 + 20' + 35"

Subtraction of two angles
With the subtraction and / or signed angles, it might be easier to convert each angle into seconds, subtract and convert again into degrees, minutes and seconds.
A1 = 45 34' 56" = 45 3600 + 34 60 + 56 = 164096"
A2 = 25 3600 + 45 60 + 39 = 92739"
Let D = A1 - A2 = 164096 - 92739 = 71357"
Convert 71357" into dgrees
D = 71357" / 3600 = 19.8213888889 = 19 + 0.8213888889 60' = 19 49' + 0.2833333333 60" = 19 49' 17"

How to Use the Degree Calculator

1 - Enter the size of the angles A1 and A2 in degrees, minutes and seconds (DMS) form, check your input and press "Add / Subtract". The outputs are the sum A1 + A2 and the difference A1 - A2 in two forms: degrees, minutes, seconds (DMS) and also in degrees decimal form.
Example of angles A1 and A2
22 34 ' 23 " (positive angle in DMS form)
-56 12 ' 45 " (negative angle in DMS form)
-0 23' 56" (negative angle less than 1 degree)

A1 =     '     "
A2 =     '     "
Decimal Places =
A1 + A2 =     '     "
=
A1 - A2 =     '     "
=


More References and links

Convert Angles from Decimal to Degrees, Minutes and Seconds
Convert Angles From Degrees to radians
Convert Angles From Radians to Degrees
Math Calculators and Solvers.

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