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Circles. 9.6. Circle -. 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.

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Circles

Circles

9.6


Circle -

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







Ratio of

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


Ratio of

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


Circumference of a Circle

C

(d) (d)

d

Find the circumference of a circle with a diameter

of 7 inches.


Find the missing information.

radius

diameter

Circumference

5 in.

d = 2r

10 in.

4 m

8 m


Making circle graphs
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



Your turn find the central angle of
Your turnFind the Central Angle of …

  • Track

  • Tennis


Homework
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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