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Lesson 8-1. Circle Terminology. Circle Definition. Circle :. The set of points coplanar points equidistant from a given point. The given point is called the CENTER of the circle. The distance from the center to the circle is called the RADIUS . Center. Radius. Definitions. Chord :.

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lesson 8 1
Lesson 8-1

Circle Terminology

Lesson 8-1: Circle Terminology

circle definition
Circle Definition

Circle :

The set of points coplanar points equidistant from a given point.

The given point is called the CENTER of the circle.

The distance from the center to the circle is called the RADIUS.

Center

Radius

Lesson 8-1: Circle Terminology

definitions
Definitions

Chord :

The segment whose endpoints lie on the circle.

A chord that contains the center of the circle.

Diameter :

A line in the plane of the circle that intersects the circle in exactly one point.

Tangent :

Tangent

Point of Tangency :

Chord

The point where the tangent line intersects the circle.

Diameter

Secant :

A line that contains a chord.

Secant

Lesson 8-1: Circle Terminology

example in the following figure identify the chords radii and diameters

B

C

A

O

D

F

E

Example: In the following figure identifythe chords, radii, and diameters.

Chords:

Radii:

Diameter:

Lesson 8-1: Circle Terminology

slide5

Definitions

Congruent Circles :

Circles that have congruent radii.

2

2

Concentric circles :

Circles that lie in the same plane and have the same center.

Lesson 8-1: Circle Terminology

polygons
Polygons

A polygon inside the circle whose vertices lie on the circle.

Inscribed Polygon:

Circumscribed Polygon :

A polygon whose sides are tangent to a circle.

Lesson 8-1: Circle Terminology

slide7

B

C

A

O

ARCS

Arcs :

The part or portion on the circle from some point B to C is called an arc.

Example:

B

Semicircle:

An arc that is equal to 180°.

A

C

Example:

Lesson 8-1: Circle Terminology

minor arc major arc

O

Minor Arc & Major Arc

A minor arc is an arc that is less than 180°

Minor Arc :

A minor arc is named using its endpoints with an “arc” above.

A

Example:

Major Arc:

A major arc is an arc that is greater than 180°.

B

B

A major arc is named using its endpoints along with another point on the arc (in order).

A

Example:

C

Lesson 8-1: Circle Terminology

example arcs

E

D

A

C

F

Example: ARCS

Identify a minor arc, a major arc, and a semicircle, given that is a diameter.

Minor Arc:

Major Arc:

Semicircle:

Lesson 8-1: Circle Terminology