Conversion between Centesimal and Sexagesimal Systems
Converting between the Centesimal and Sexagesimal Systems involves specific formulas that allow for a seamless transition between the two angular measurement systems.
Conversion Formulas
The conversion formula from grads to degrees is:
Degrees = (Grads/400) × 360
Practical Examples
1: Convert 50 grads to degrees.
Given: Grads = 50
Calculation: Degrees = (50/400) * 360 = 45 degrees
2: Convert 120 degrees to grads.
Given: Degrees = 120
Calculation: Grads = (120/360) * 400 = 133.33 grads
Centesimal System of Angle Measurement
The Centesimal System of Angle Measurement is a method of measuring angles where a circle is divided into 100 equal parts called grads. This system provides an alternative to the more commonly used Sexagesimal System (degrees) and the Radian System. Understanding the centesimal system is essential for various fields like surveying, navigation, and engineering.
Table of Content
- What is the Centesimal System?
- Comparison with Other Angle Measurement Systems
- Centesimal System vs Sexagesimal System (Degrees, Minutes, Seconds)
- Centesimal System vs Radian System
- Basic Units in the Centesimal System
- Conversion between Centesimal and Sexagesimal Systems
- Conversion between Centesimal and Radian Systems
- Advantages of the Centesimal System
- Disadvantages of the Centesimal System
- Solved examples on the Centesimal system