## 6.4.1 Angles and Tangents of Circles

6.4.1 Angle between Tangent and Chord   1. In the diagram above, ABC is a tangent to the circle at point B.   2. Chord PB divides the circle into two segments, that is, the minor segment PRB and the major segment PQB. 3. With respect to ∠PBA, ∠PQB is known as the angle subtended by chord BP … Read more

## 6.3.2 Tangents to a Circle (Sample Questions)

Example 1: In the diagram, O is the centre of a circle. ABC and CDE are two tangents to the circle at points B and D respectively. Find the length of OC.   Solution: OC2= OB2 + BC2 ← (Pythagoras’ Theorem) = 62 + 82 = 100 OC = √100 = 10 cm Example 2: In the diagram, … Read more

## 6.3.1 Tangents to a Circle

6.3.1 Tangents to a Circle   1. A tangent to a circle is a straight line that touches the circle at only one point and the point is called the point of contact.   2. If a straight line cuts a circle at two distinct points, it is called a secant. The chord is part of … Read more

## 6.1 Angles at the Circumference and Central Angle Subtended by an Arc

(A) Properties of Circles Involving Symmetry, Chords and Arcs   (B) Identify the Properties of Chords (1) A radius that is perpendicular to a chord divides the chord into two equal parts.   (C) Properties of Angles in Circles (1) (2) (3) (4) (5)