Anglesare measured through either Radians or degrees.
What is a Radian?
The measure of the central angle subtended by an arc equal in length to the radius of a circle is called Radian.
How to convert Degrees to Radians?
Multiply the number of degrees by π⁄(180°)
How to convert Radians to degree?
Multiply the radians by(180°)⁄π
Example 1: What is the radian measure of 60°?
Answer: Radian measure = 60° x π⁄(180°)
Example 2: How many radians are depicted in the figure?
2π (b) π (c)π⁄2 (d) 1
Relationship between degree, radian and grade is
Example 2: 60° is equal to how many radians and grade?
Answer: 180⁄60 =π⁄R
R = 60π
180⁄60 = 200⁄G
G = 200⁄3
Example 3: Express 3π⁄5 in terms of degrees.
3π⁄5 x 180⁄π = 108°