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:

Sexagesimal

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.

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