Relation between
Sexagesimal and Circular

What is the relation between sexagesimal and circular system?

The relation between the units of the two systems is given below:

                      360°                      = 2 radian = 2π^c

                      180°                      = π radian = π^c

                      90°                        = π/2 radian = π^c/2

Important note to remember the relation between sexagesimal and circular system:

(i) In the sexagesimal system, to indicate measures of angles in degrees symbol ‘ ° ’ is used; for example, 60 degrees 60°. And in the circular system, to indicate measures of angles in radians symbol ‘ ^c ’ is used, for example, 1 radian = 1^c

(ii) In trigonometry, we generally do not write the magnitude of angles like 1^c, but write them in terms of π. When expressed in terms of π, we generally do not use the symbol.

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

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