Chapter 1: Circular Measure Overview

Additional Mathematics Form 5

Textbook

Chapter 1: Circular Measure

Chapter 2: Differentiation

Chapter 3: Integration

Chapter 4: Permutations and Combinations

Chapter 5: Probability Distributions

Chapter 6: Trigonometric Functions

Chapter 7: Linear Programming

Chapter 8: Kinematic Linear Motion

Chapter 1: Circular Measure

What you need to learn in this chapter

In this chapter, we will be learning about circular measure in Additional Mathematics.

We will start by understanding radians, which is a unit of measurement for angles in a circle.

Next, we will explore how to find the arc length of a circle, which is the distance along the circumference.

We will also learn how to calculate the area of a sector of a circle, which is a portion of the circle enclosed by two radii and an arc.

Lastly, we will apply our knowledge of circular measure to solve problems involving angle measurements, arc length, radius, and the angle at the center of a circle.

Topics in this chapter

1. Radian

What you will learn in this topic

Make the relationship between angle measurements in radians and degrees

2. Arc length of a circle

What you will learn in this topic

Determine (i) arc length, (ii) radius, and (iii) substended angle at the centre of a circle
Determine the perimeter of a segment of a circle
Solve problems involving arc length

3. Area of a sector of a circle

What you will learn in this topic

Determine (i) area of a sector, (ii) radius, and (iii) substended angle at the centre of a circle
Determine the area of a segment of a circle
Solving problems involving the area of a sector

4. Application of a Circular Measure