Mathematics 10 chord ppt, Slides of Mathematics

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CIRCLE

CHORDS

ARCS

CENTRAL ANGLES

INSCRIBED ANGLES

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Objectives:

1. define and illustrate chord,

arc, central angle and

inscribed angle,

2. state and prove theorems

involving chord, arc, central

angle and inscribed angle, and

3. solve problems involving

chord, arc, central angle and

inscribed angle.

ARC

AC

An arc is a part or a portion of a circle.

Minor arc – smaller than a semicircle.

Major arc- bigger than a semicircle.

Minor

arc

BAD

Major

arc

BD

ABD AD

Activity 1. Given a circle with

center O, name the following:

1. The circle

⨀O

2. A diameter

MN

3. 2 radii

MO

MT

NO

4. 2 chords

which are not

diameters

MR

O

and

Activity 1. Given a circle with

center O, name the following:

5. Two minor arcs
   6. Two major arcs

MRT,

7. 2 inscribed

angles

8. A central angle

MT, RN

TMN

TMN, RMN

TON

O

Relationship Between Inscribed

Angle and Its Intercepted Arc

The measure of an inscribed angle is

equal to ½ the measure of its

intercepted arc.

ABC intercepts

AC

ABC

AC

160˚

8 0˚

Example:

Given circle O,

with BOD = 80˚

BAD

Find: BD and

BD 80˚

BAD mBD

=

BAD

8 0˚

Central

8 0˚

Inscribed

4 0˚