Radians and Degrees

Online Tutoring Is The Easiest, Most Cost-Effective Way For Students To Get The Help They Need Whenever They Need It.

SIGN UP FOR A FREE TRIAL




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°)
=π3
Example 2: How many radians are depicted in the figure?
2π        (b) π        (c)π2       (d) 1
Answer: b
Relationship between degree, radian and grade is
Example 2: 60° is equal to how many radians and grade?
Answer: 18060 =πR
R = 60π180 = π3
18060 = 200G
3= 200G
G = 2003
Example 3: Express 5 in terms of degrees.
Answer:
5 x 180π = 108°

HAVE A QUESTION? Chat With Our Tutoring Experts Now