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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

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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