Sexagesimal System

What is Sexagesimal System?

Sexagesimal system is a numeral system with the number sixty as base. It is widely used in measuring angles, time, and geographical coordinates.

Why 60 is used as a base number in sexagesimal system?

Actual reason to use 60 as base number is uncertain but approximations are made that it used as it is a highly composite number which facilitates its division in various factors easier.

What are some other names for sexagesimal system?

Sexagesimal System is also known as the Sexagenary System or the base 60 numeral system.

Why the use of sexagesimal system decreased nowadays?

While sexagesimal system remains in use for certain applications such as time and angle measurements, but other numeral systems such as the decimal system (base-10) and binary system (base-2) are more prevalent nowadays due to their compatibility with digital computing.

Give example of where sexagesimal system is used today?

Most common example of sexagesimal system is found in time measurement, where a complete day is divided into 24 hours, one hour into 60 minutes and one minute into 60 seconds.

How do you convert degrees to minutes and minutes to seconds?

Given conversions achieved using the given relation:

  • 1 degree = 60 minutes
  • 1 minute = 60 seconds


Sexagesimal System

Sexagesimal System is a numeral system used for measuring time, angles and geographical coordinates based on the number 60. It is one of the ancient numeral systems. In the sexagesimal numeral system, a unit of the concerned physical quantity is divided into 60 equal divisions. The reason to use the number 60 is that it has multiple divisors, making it convenient to create divisions of the physical quantity such as hour, minute, degree, etc.

In modern world, the sexagesimal system is mostly replaced by the decimal system as it is more convenient and practical. But, it is still prevalent in measurements involving angles, time, longitude and latitude.

In this article, we will learn about the sexagesimal system, reasons to use 60 as the base number, examples where it is used, practice questions and related frequently asked questions.

Table of Content

  • What is Sexagesimal System?
  • Reason to Use 60 as Base Number
  • Sexagesimal System Examples
    • Angle Measurement
    • Time Measurement
    • Geographical Coordinates
  • Conclusion
  • Practice Questions on Sexagesimal System

Similar Reads

What is Sexagesimal System?

Sexagesimal systems are defined as,...

Reason to Use 60 as Base Number

Actual reason to use 60 as the base number in the sexagesimal system is uncertain. However, it is said that it is used as it has multiple factors or divisors. The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60. Thus, it is a highly composite number....

Sexagesimal System Examples

Sexagesimal system was used in a variety of measurements but it has been replaced by decimal system in modern world. Here, we will discuss the regions where it is still prevalent that are angle measurements, time measurements and representation of geographical coordinates....

Conclusion

In conclusion, sexagesimal system is a numeral system with base number as sixty (60) which was used predomnantly by ancient civilizations for counting and measurements but due to advancement of computing technologies which majorly work on binary (base 2) and decimal (base 10) numeral systems, its use has been limited to time measurements, angle measurements, and geographical coordinates....

Practice Questions on Sexagesimal system

Q1. Convert the following angle measure from decimal degrees to degrees, minutes, and seconds using the sexagesimal system: 68.25°....

FAQs on Sexagesimal System

What is Sexagesimal System?...