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Radian

Definition Of Radian

Radian is a unit used for measuring angles. 1 radian is equal to the angle subtended by the center of the circle by an arc on the circumference which is equal to the radius.

More About Radian

180° = π radians
1 degree = π /180 radians or about 0.01745 radians
1 radian = (π/180)° or about 57.296°

Example of Radian

Examples-of-Radian

The full angle is 2 π radians and therefore is 360°.
A right angle is π / 2 radians
A straight angle is π radians.

Video Examples: Radian : What is it?

Solved Example on Radian

Ques: Convert 5/12 π radians to degree measure.

Choices:

A. 75°
B. 15°
C. 180°
D. 432°

Correct Answer: A

Solution:

Step 1: π =  [Use 1 radian = .]
Step 2: 75°

Ques: An angle measures 144°. What is its measure in Radian?

Choices:

A. 2π/15
B. 2π/5
C. 12π/15
D. 15π/12

Correct Answer: C

Solution:

Step 1: 1 degree = π/180 radians
Step 2: 144° = 144° π/180 radians = 12π/15 radians