The Math Forum

Ask Dr. Math - Questions and Answers from our Archives
Associated Topics || Dr. Math Home || Search Dr. Math

Degrees, Minutes, Seconds

Date: 01/25/2001 at 16:21:21
From: Karl Mcfadden
Subject: Degrees minutes and seconds

How do I convert degrees in decimal to degrees in minutes and seconds?

Date: 01/25/2001 at 16:54:30
From: Doctor Peterson
Subject: Re: Degrees minutes and seconds

Hi, Karl.

To convert degrees to minutes, you multiply by 60, and likewise to 
convert minutes to seconds.

In this case, you only want to convert the decimal part at each step 
to the smaller unit.

So, for example, to convert 34.56 degrees to DMS, we first pull off 
the whole part (34 degrees) and then convert 0.56 degrees to minutes 
by multiplying:

    0.56 deg * 60 min/deg = 33.6 min

Now we pull off the whole part (33 min), and convert 0.6 minutes to 

    0.6 min * 60 sec/min = 36 sec

The answer is therefore 34 deg 33 min 36 sec.

- Doctor Peterson, The Math Forum   
Associated Topics:
Middle School Terms/Units of Measurement

Search the Dr. Math Library:

Find items containing (put spaces between keywords):
Click only once for faster results:

[ Choose "whole words" when searching for a word like age.]

all keywords, in any order at least one, that exact phrase
parts of words whole words

Submit your own question to Dr. Math

[Privacy Policy] [Terms of Use]

Math Forum Home || Math Library || Quick Reference || Math Forum Search

Ask Dr. MathTM
© 1994- The Math Forum at NCTM. All rights reserved.