Degrees, Minutes, and Seconds to Decimal Conversion

Degrees, Minutes, and Seconds to Decimal Conversion

Convert each angle from Degrees, Minutes, and Seconds (DMS) format to decimal degrees. Round your answers to two decimal places where necessary.

1. There are 60   in one degree.

2. There are 60   in one minute.

3. To convert minutes to degrees, you divide by  .

4. To convert seconds to degrees, you divide by  .

1. Convert 45° 30' 0'' to decimal degrees.

2. Convert 72° 15' 36'' to decimal degrees.

3. Convert 120° 0' 45'' to decimal degrees.

4. Convert 15° 55' 10'' to decimal degrees.

1. Which of the following is the correct decimal degree conversion for 60° 12' 0''?

2. The angle 30° 45' 30'' is approximately equal to:

1. 90° 0' 0'' is equal to 90.0 degrees.

2. 1 degree is equal to 3600 seconds.

A protractor measures angles in degrees. Imagine you're measuring an angle and it falls between whole degree marks. You can use the smaller markings to estimate minutes and seconds.

When reading an angle from a protractor, if the angle is slightly more than 40 degrees, say it's 40 degrees and a little bit, you might record it as 40° 15' 0''. Convert this to decimal degrees.