Question

If D, G and C are the number of degree, grades and radians of an angle, prove that G/200=C/pie=D/180

Answer 1

Solution

Step 1

The relations between sexagesimal measure (degree), centesimal measure(grade), and circular measure (radian) are

π radians = 180 Degrees

90 Degrees = 100 grades

180 Degrees = 200 grades

So, 180 Degrees = 200 grades = π radians

Step 2