Circles
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Circles PowerPoint PPT Presentation


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Circles. Honors Math – Grade 4. A. Circle. A circle is a plane figure. All the points on a circle are the same distance from a given point, called the center. Point A is the center of the circle. Circle A. A circle is named by its center point. C. E. B. D. G. F.

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Circles

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Circles

Circles

Honors Math – Grade 4


Circle

A

Circle

  • A circle is a plane figure.

  • All the points on a circle are the same distance from a given point, called the center.

  • Point A is the center of the circle

Circle A

A circle is named by its center point.


The parts of circle b

C

E

B

D

G

F

The Parts of Circle B

  • All the line segments in Circle B have special names.

  • Can you name any points on the circle?

  • E, C, D, F, G


Radius

C

E

B

D

G

F

Radius

  • A radius is a line segment with endpoints at the centerof the circle and on the circle.

  • is a radius.

  • Can you name any other radii (plural of radius)?


Diameter

C

E

B

D

G

F

Diameter

  • A diameter is a line segment that passes through the center of the circle and has bothendpoints on the circle.

  • is a diameter.

The length of the diameter is always equal to twice the length of the radius.

12 cm

If BE measures 6 cm, how long is CD?


Chord

C

E

B

D

G

F

Chord

  • A chord is a line segment with both endpoints on the circle.

  • is a chord.

  • Are there any other chords in Circle B?

  • Line segment CD

A diameter is a special chord.


Simple closed curve

Simple Closed Curve

  • A simple closed curve is a path that begins and ends at the same point and does not cross itself.

Simple Closed Curves

Not simple closed curves


Practice

P

T

V

S

R

X

W

Q

Practice

  • Name the circle and its center.

  • How many diameters are shown? Name the diameters.

  • Is TR a radius? Explain why or why not?

  • Is VX a radius? Explain why or why not?

  • How many radii are shown? Name the radii.


Practice answers

Practice Answers

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Practice answers1

Practice Answers

  • Circle V. The center is point V.

  • There are 3 diameters. PQ, RS, TW

  • TS is not a radius because it does not have an endpoint at the center of the circle and it is a chord.

  • VX is a radius because its endpoints are the center point V and point X on the circle.

  • There are 7 radii. VP, VS, VW, VQ, VX, VR, VT


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