Textbook
Chapter 1: Patterns and Sequences
Chapter 2: Factorisation and Algebraic Fractions
Chapter 3: Algebraic Formulae
Chapter 4: Polygons
Chapter 5: Circles
Chapter 6: Three-Dimensional Geometrical Shapes
Chapter 7: Coordinates
Chapter 8: Graphs of Functions
Chapter 9: Speed and Acceleration
Chapter 10: Gradient of a Straight Line
Chapter 11: Isometric Transformations
Chapter 12: Measures of Central Tendencies
Chapter 13: Simple Probability
Chapter 5: Circles
What you need to learn in this chapter
In this chapter, we will be learning about circles. We will start by understanding the properties of circles, such as the radius, diameter, and center. We will also learn about symmetrical properties of chords, which are lines that connect two points on a circle. Next, we will explore how to find the circumference and area of a circle. We will learn the formulas and practice using them in different examples. Lastly, we will learn how to construct a circle and its parts based on given conditions. By the end of this chapter, we will have a good understanding of circles and be able to solve problems related to them.
Topics in this chapter
1. Properties of Circles
What you will learn in this topic
- Recognise parts of a circle and explain the properties of a circle
- Construct a circle and parts of the circle based on the conditions given
2. Symmetrical Properties of Chords
What you will learn in this topic
- Verify and explain that (i) diameter of a circle is an axis of symmetry of the circle; (ii) a radius that is perpendicular to a chord bisects the chord and vice versa; (iii) perpendicular bisectors of two chords intersect at the centre; (iv) chords that are equal in length produce arcs of the same length and vice versa; and (v) chords that are equal in length are equidistant from the centre of the circle and vice versa
- Determine the centre and radius of a circle by geometrical construction
- Solve problems involving symmetrical properties of chords
3. Circumference and Area of a Circle
What you will learn in this topic
- Determine the relationship between circumference and diameter of a circle, and hence define Pi and derive the circumference formula
- Derive the formula for the area of a circle
- Determine the circumference, area of a circle, length of arc, area of a sector and other related measurements
- Solve problems involving circles
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