Circles

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# Circles - PowerPoint PPT Presentation

Circles. Chapter 10 Sections 10.1 –10.7. F. Parts of a Circle. Circle F. F. center. Use the center to name a circle. Parts of a Circle. chord. tangent. secant. diameter. radius. Segments &amp; Lines. Formulas. Radius/diameter Circumference. radius = ½diameter r = ½ d

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### Circles

Chapter 10

Sections 10.1 –10.7

F

Parts of a Circle

Circle F

F

center

Use the center to name a circle.

Parts of a Circle

chord

tangent

secant

diameter

Segments & Lines

Formulas
• Circumference

r = ½ d

d = 2r

C = 2∏r or C = ∏d

Types of Angles

Central angle

- Vertex is on the center.

Inscribed angle

- Vertex is on the circle.

MNO

MO

MON

Types of Arcs

major arc

minor arc

semicircle

M

P

O

N

Measure of Arcs & Angles

minor arc = its central angle

major arc = 360 - its central angle

68°

360 – 68 = 292

68°

292°

Measure of Arcs & Angles

minor arc = its central angle

major arc = 360 - its central angle

semicircle = 180

180°

Measure of Arcs & Angles

minor arc = its central angle

major arc = 360 - its central angle

semicircle = 180

inscribed angle = ½minor arc

34°

68°

A

C

B

D

then AB CD

Arc and Chord Relationships

If chords are congruent, then arcs are congruent.

A

G

H

B

Arc and Chord Relationships

If a diameter is perpendicular to a chord, then it bisects the chord.

K

A

G

H

B

AH  BH

Arc and Chord Relationships

If a diameter is perpendicular to a chord, then it bisects the arc.

K

A

O

C

P

R

B

D

Arc and Chord Relationships

Two chords are  if and only if they are the same distance from the center.