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

Measurement of Trigonometric Angles

Circular System

Radian is a Constant Angle

Relation between Sexagesimal and Circular

Conversion from Sexagesimal to Circular System

Conversion from Circular to Sexagesimal System









9th Grade Math

From Sexagesimal System to HOME PAGE




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.



New! Comments

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




Share this page: What’s this?

Recent Articles

  1. Worksheet on Yesterday, Today and Tomorrow | Sequence of the Week-days

    Nov 25, 24 01:18 AM

    Practice the worksheet on yesterday, today and tomorrow, the questions are based on the sequence of the week-days, their names and order. We know, the present day is today, the day before today

    Read More

  2. Yesterday, Today and Tomorrow | Name of each Day of the Week

    Nov 25, 24 01:09 AM

    We will learn the relation between yesterday, today and tomorrow. There are seven days in a week. We know the name of each day of the week. Sunday is known as the first day of the week.

    Read More

  3. The Story about Seasons | Spring | Summer | Autumn | Winter

    Nov 25, 24 12:48 AM

    The Four Seasons
    Kids let’s enjoy the story about seasons. Here we will discuss about the four seasons and the duration. Some months are too hot and some are too cold. The period of hot months is called the hot

    Read More

  4. Months of the Year | List of 12 Months of the Year |Jan, Feb, Mar, Apr

    Nov 25, 24 12:17 AM

    Months of the Year
    There are 12 months in a year. The months are January, February, march, April, May, June, July, August, September, October, November and December. The year begins with the January month. December is t…

    Read More

  5. Time Duration |How to Calculate the Time Duration (in Hours & Minutes)

    Nov 24, 24 11:01 PM

    Time Duration Example
    Time duration tells us how long it takes for an activity to complete. We will learn how to calculate the time duration in minutes and in hours. Time Duration (in minutes) Ron and Clara play badminton…

    Read More