Chua Chu Kang Secondary SchoolSecondary 3 Express

Elementary MathematicsChapter 10a: Chords and Angle Properties of a Circle

Name: __________________________( ) Date: ____________Class: _____________

10.1: Chords and Symmetry Properties of Circles

A chord is a straight line joining any two points on the circumference of a circle

Arc: a part of the circumference of a circle

Segment: the region enclosed by a chord and the circumference

Sector: the region enclosed by two radii and an arc of a circle

Property 1:

The perpendicular bisector of a chord passes through the _________________.

i.e. a straight line drawn from the centre of a circle to _________________ a chord is _________________ to the chord.

Property 2:

In a circle, equal chords are _________________ from the centre.

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PQ OM

PQ = P’Q’ and OM = ON

Practice Questions:1. Find the values of PQ and POM in the circle.

2. Find the values of AP and OC in the circle.

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3. In the diagram, AB and CD are two parallel chords of a circle, center O. AB = 30 cm, CD = 48 cm and the perpendicular distance from O to AB is 20 cm. Find

a. The radius of the circle,b. The perpendicular distance between AB and CD

4.

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Homework

1.

2.

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