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Circle Note cards

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Circle Note cards. Are you ready? We heard you were going to make a few note cards - and then there might be a short quiz. Have fun!!. White note card. circle. The set of all points in a plane that are equidistant from a given point. chords. diameter. Named by its center: О D. D. - PowerPoint PPT Presentation

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Page 1: Circle Note cards
Page 2: Circle Note cards

Are you ready? We heard you were going to make a few note cards - and then there might

be a short quiz. Have fun!!

Page 3: Circle Note cards

White note card

circle

The set of all points in a plane that are equidistant from a given point

center

radius

diameterchordsNamed by its center: ОD D

Page 4: Circle Note cards

Colored Note card

Circle formulas

Circumference: 2rArea: r²

Arc - part of a circle

Arc measure: a) degrees: equal to the measure of the

central angleb) length: central angle arc length

360° circumference =

Central angle

Major arc

Minor arc

Page 5: Circle Note cards

This circle stuff is AWESOME!!

Page 6: Circle Note cards

Hey, how about a quiz? That would

be fun!

You’re right! Everyone take out a piece of paper!

Page 7: Circle Note cards

QUIZ

1.Draw circle E. Draw and label a radius, diameter, and a chord that is not a diameter.

2.Find the exact circumference and area of circle Q.

3.Name a minor arc in the circle.

4.Name a major arc in the circle.

5.Find the arc length of BC.

A B

C

Q95°

14 cm

Page 8: Circle Note cards

Guess what!?! There is even more stuff to learn

about circles!

Page 9: Circle Note cards

Colored note card

Angles in circles

Central angle • vertex is center of circle• sides are radii• measure is equal to arc

85°

85°

Inscribed angle• vertex is on circle• sides are chords• measure is half the arc

43°

86°

Page 10: Circle Note cards

Try these! Find x.

110°

56°

36°

160°

Page 11: Circle Note cards

Colored note card

Diameters and chords

congruent chords are equidistant from center

congruent chords = congruent arcs

diameter to chord – diameter bisects chord and arc

Page 12: Circle Note cards

How about these? Math is good stuff!

8

6

Find the radius.3

x

12

y

Find x and y.

Page 13: Circle Note cards

One more problem! Find the arc length of the minor

arc.

43°

4 cmcentral angle arc length 360° circumference

=

86360

X2 • • 4=

Think about the measure

of the arc. It’s not 43°!

86°

86°

Circumference: 2r

or 3.14?

Nice job!

X 1.91 6

Page 14: Circle Note cards

More problems to do, there are, young Padawan.

Some with

factoring?

Factoring in two.

Fun in all of them.

Page 15: Circle Note cards

More to learn, there is, young Padawan.

Tangents and secants to study, you must.

Secants and

tangents?

Secants and

tangents.