Circles Honors Math – Grade 4. Circle A circle is a plane figure. All the points on a circle are...
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Transcript of Circles Honors Math – Grade 4. Circle A circle is a plane figure. All the points on a circle are...
![Page 1: 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.](https://reader035.fdocuments.in/reader035/viewer/2022072015/56649eb65503460f94bbf5e2/html5/thumbnails/1.jpg)
Circles
Honors Math – Grade 4
![Page 2: 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.](https://reader035.fdocuments.in/reader035/viewer/2022072015/56649eb65503460f94bbf5e2/html5/thumbnails/2.jpg)
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
A circle is named by its center point.
Circle A
![Page 3: 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.](https://reader035.fdocuments.in/reader035/viewer/2022072015/56649eb65503460f94bbf5e2/html5/thumbnails/3.jpg)
The Parts of Circle B
EC
B
D
F
G
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.](https://reader035.fdocuments.in/reader035/viewer/2022072015/56649eb65503460f94bbf5e2/html5/thumbnails/4.jpg)
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)?
BC
EC
B
D
F
GBD
BE
![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.](https://reader035.fdocuments.in/reader035/viewer/2022072015/56649eb65503460f94bbf5e2/html5/thumbnails/5.jpg)
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.
EC
B
D
F
G
CD
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.](https://reader035.fdocuments.in/reader035/viewer/2022072015/56649eb65503460f94bbf5e2/html5/thumbnails/6.jpg)
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
EC
B
D
F
G
FG
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.](https://reader035.fdocuments.in/reader035/viewer/2022072015/56649eb65503460f94bbf5e2/html5/thumbnails/7.jpg)
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.](https://reader035.fdocuments.in/reader035/viewer/2022072015/56649eb65503460f94bbf5e2/html5/thumbnails/8.jpg)
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
X
Q
W
T
P
![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.](https://reader035.fdocuments.in/reader035/viewer/2022072015/56649eb65503460f94bbf5e2/html5/thumbnails/9.jpg)
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.](https://reader035.fdocuments.in/reader035/viewer/2022072015/56649eb65503460f94bbf5e2/html5/thumbnails/10.jpg)
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