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## PowerPoint Slideshow about ' Circles' - isabelle-rowen

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### Circles

9.6

The set of infinite points equidistant from

a center point.

C

- Center

A

X

- Radius

- Segment or distance

from center to circle.

O

- Chord

- Segment that connects

one point on circle to another.

Y

- Diameter

- Chord that passes

through the center.

M

- Angle whose vertex is the center.

- Central Angle

C:d

Relationship Between Diameter and Circumference

- Two easiest things to measure on a circle.

Silver Dollar

diameter

Circumference

12.0

3.8 cm

12.0 cm

3.82

Compact Disc

37.7

12.0 cm

37.7 cm

12.0

Table Top

628.3

200 cm

628.3 cm

200

C:d

12.0

3.82

37.7

12.0

C

d

628.3

200

Relationship Between Diameter and Circumference

Silver Dollar

Regardless of the size

of the circle, the ratio

of the circumference to

the diameter remains

constant.

Compact Disc

C

d

Table Top

C

(d) (d)

d

Find the circumference of a circle with a diameter

of 7 inches.

Making Circle Graphs

- Central Angle- an angle whose vertex is in the center of the circle
- There are 360 degrees in a circle
- Use proportions to find the degree of each central angle

Example: Find the measure of the central Angles

- Swimming
- Soccer

Your turnFind the Central Angle of …

- Track
- Tennis

Homework

Page 472 (1-18) all

- You may use a calculator but you need to still show work
- Use 3.14 for pi
- Round to three decimal places if need be

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