# Sexagesimal System

In sexagesimal system, the angle that the rotating ray traces making one complete revolution is taken to be 360°.

One-fourth of it is 90°, that is, one right angle 90°and 1/90th part of a right angle is 1°. The other lower units of this system are minute and second.

The following table of sexagesimal system shows the relation between them.

1 right angle = 90 degrees or 90°

1° = 60 minutes or 60’

1’ = 60 seconds or 60”

Worked-out examples on how to express the sexagesimal system in degree, minute and second:

Express 85.12° in degree, minute and second.

Solution:

85.12° = 85° + (0.12)°

= 85° + (0.12 × 60)’ [Since, 1° = 60’]

= 85° + 7.2’

= 85° + 7’ + (0.2)’

= 85° + 7’ + (0.2 × 60)”

= 85° + 7’ + 12”

Therefore, 85.12° = 85° 7’ 12”

Basic Trigonometry

Trigonometry

Circular System

Radian is a Constant Angle

Relation between Sexagesimal and Circular

Conversion from Sexagesimal to Circular System

Conversion from Circular to Sexagesimal System

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.

## Recent Articles

1. ### Thousandths Place in Decimals | Decimal Place Value | Decimal Numbers

Jul 20, 24 03:45 PM

When we write a decimal number with three places, we are representing the thousandths place. Each part in the given figure represents one-thousandth of the whole. It is written as 1/1000. In the decim…

2. ### Hundredths Place in Decimals | Decimal Place Value | Decimal Number

Jul 20, 24 02:30 PM

When we write a decimal number with two places, we are representing the hundredths place. Let us take plane sheet which represents one whole. Now, we divide the sheet into 100 equal parts. Each part r…

3. ### Tenths Place in Decimals | Decimal Place Value | Decimal Numbers

Jul 20, 24 12:03 PM

The first place after the decimal point is tenths place which represents how many tenths are there in a number. Let us take a plane sheet which represents one whole. Now, divide the sheet into ten equ…

4. ### Representing Decimals on Number Line | Concept on Formation of Decimal

Jul 20, 24 10:38 AM

Representing decimals on number line shows the intervals between two integers which will help us to increase the basic concept on formation of decimal numbers.