Unit-I: Sets and Functions

Chapter 1: Sets

10 Topics | 4 Quizzes
Chapter 2: Relations & Functions

14 Topics | 4 Quizzes
Chapter 3: Trigonometric Functions

15 Topics | 4 Quizzes
Unit-II: Algebra

Chapter 1: Principle of Mathematical Induction

3 Topics | 5 Quizzes
Chapter 2: Complex Numbers and Quadratic Equations

9 Topics | 4 Quizzes
Chapter 3: Linear Inequalities

6 Topics | 5 Quizzes
Chapter 4: Permutations and Combinations

4 Topics | 5 Quizzes
Chapter 5: Binomial Theorem

5 Topics | 5 Quizzes
Chapter 6: Sequence and Series

10 Topics | 4 Quizzes
Unit-III: Coordinate Geometry

Chapter 1: Straight Lines

16 Topics | 5 Quizzes
Chapter 2: Conic Sections

5 Topics | 4 Quizzes
Chapter 3. Introduction to Three–dimensional Geometry

7 Topics | 4 Quizzes
Unit-IV: Calculus

Chapter 1: Limits and Derivatives

6 Topics | 4 Quizzes
Unit-V: Mathematical Reasoning

Chapter 1: Mathematical Reasoning

15 Topics | 6 Quizzes
Unit-VI: Statistics and Probability

Chapter 1: Statistics

4 Topics | 1 Quiz
Chapter 2: Probability

7 Topics | 4 Quizzes
Lesson Progress

0% Complete

If a rotation from the initial side to terminal side is of a revolution, the angle is said to have a measure of one degree, written as .

A degree is divided in 60 minutes and a minute is divided in 60 seconds

Some angles are shown below (In degree)

__Radian Measure__

Angle subtended at the centre by an arc of length in a unit cirlce (circle of radius is said to be a measure of radian.

The circumference of a circle of radius . Thus, one complete revolution of the initial sides subtends an angle of radian.

In a circle of radius , an arc of length or subtends an angle whose measure is radian, an arc of length will subtend an angle whose measure is .

Thus, is a circle of radius , an arc length length subtends an angle radian at centre, we have

Some angles whose measures are in radian shown below:

__Relation Between Degree and Radians__

Or

Also,

Degree |
|||||||

Radian |

__Notational Convention__

**Example:**

Convert into radian.

We know

**Example:**

Find the radius of the circle in which a central angle of intercepts an arc of length

**Solution:**

Here,

Hence,

**Example:**

Convert radian in degree measure

**Solution:**

We know

Login

Accessing this course requires a login. Please enter your credentials below!