# 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:

#### Circular

360°                      = 2 radian = 2πc

180°                      = π radian = πc

90°                        = π/2 radian = πc/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 = 1c

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

Basic Trigonometry

Trigonometry

Circular System

Relation between Sexagesimal and Circular

Conversion from Sexagesimal to Circular System

Conversion from Circular to Sexagesimal System