circles honors math – grade 4. circle a circle is a plane figure. all the points on a circle are...

Circles Honors Math – Grade 4

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Circles

Honors Math – Grade 4

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

A circle is named by its center point.

Circle A

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

Page 4: Circles Honors Math – Grade 4. Circle A circle is a plane figure. All the points on a circle are the same distance from a given point, called the center

Radius

A radius is a line segment with endpoints at the center of the circle and on the circle.

is a radius.

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

GBD

Page 5: Circles Honors Math – Grade 4. Circle A circle is a plane figure. All the points on a circle are the same distance from a given point, called the center

Diameter

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

is a diameter.

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

radius.If BE measures 6 cm, how long is CD?

12 cm

Page 6: Circles Honors Math – Grade 4. Circle A circle is a plane figure. All the points on a circle are the same distance from a given point, called the center

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.

Page 7: Circles Honors Math – Grade 4. Circle A circle is a plane figure. All the points on a circle are the same distance from a given point, called the center

Simple Closed Curve

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

Not simple closed curves

Simple Closed Curves

Page 8: Circles Honors Math – Grade 4. Circle A circle is a plane figure. All the points on a circle are the same distance from a given point, called the center

Practice

1. Name the circle and its center.

2. How many diameters are shown? Name the diameters.

3. Is TR a radius? Explain why or why not?

4. Is VX a radius? Explain why or why not?

5. How many radii are shown? Name the radii.

R SV

Page 9: Circles Honors Math – Grade 4. Circle A circle is a plane figure. All the points on a circle are the same distance from a given point, called the center

Practice Answers

1. ____________________________________________

2. ____________________________________________

3. ____________________________________________

4. ____________________________________________

5. ____________________________________________

Page 10: Circles Honors Math – Grade 4. Circle A circle is a plane figure. All the points on a circle are the same distance from a given point, called the center

Practice Answers

1. Circle V. The center is point V.2. There are 3 diameters. PQ, RS, TW3. TS is not a radius because it does not

have an endpoint at the center of the circle and it is a chord.

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

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

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