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°.

Q2. Convert the following angle measure from degrees, minutes, and seconds to decimal degrees: 30° 15′ 20″.

Q3. How many seconds are there in 1 day?

Q4. Determine the number of hours in 7200 seconds.

Q5. Convert 1440 seconds into minutes.

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

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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Sexagesimal system was used in a variety of measurements but it has been replaced by decimal system in modern world.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?...