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Negative 
examples 
Positive 
examples 
Triangle 
Revolution 
of planet 
Hexagon Fan
Negative Positive 
Square 
Rotation 
of planet 
Kite Tyre
CIRCLE : Properties 
, arcs and points 
Std:VII
S P 
. 
O 
Q 
The Centre of the circle is 
O. 
The radius(r) of 
the circle is SO. 
The diameter (d) 
of the circle is 
PQ 
PQ=2 x OP
Properties of 
the radius & 
diameter
Properties of radius: 
A 
F G 
. 
O 
C D 
B 
E 
H 
B 
AO=OB=OC=OD=OE=OF=OG=OH=------------- 
All the radii of a circle are equal in length. 
They are CONGRUENT to each other 
A circle has innumerable 
radii.
Properties of a 
diameter: 
PQ=MN=XY=ST 
All the diameters of a circle are equal in 
length. 
All are CONGRUENT to each other 
A circle has innumerable 
diameters. 
P 
M N 
Q 
S 
X 
T 
Y
AB=2 x OA 
• (if OA=4cm 
therefore AB=8cm) 
AB=2 x OB 
C 
A B 
The measure of the diameter 
of any circle is twice the 
length of its radius. 
O
Chords of 
a circle
MN is a chord 
• The line segment joining any 
two points on a circle is called 
a chord. 
PQ is the longest chord. 
• The diameter is the longest chord 
A circle has innumerable chords. 
M 
N 
P 
Q 
O 
S 
. 
O
Arcs of 
a circle
. 
O 
A 
B 
X 
A & B are 2 points on 
the circle. 
The 2 points divide the 
circle into 2 parts. 
Each part is called an 
arc of the circle. 
AXB is an arc.
The interior 
& exterior 
of the circle
. 
R 
. 
S 
. 
W 
. 
F 
.K 
. 
M 
. 
N 
. 
Y 
. 
T 
.P 
.Q
Points- K,R,S,P,M are inside the circle. 
The points which are inside the circle are known as 
interior points. 
Points-W,T,Q,F,N,Y are outside the circle. 
The points which are outside the circle are known as 
exterior points. 
There are innumerable points in the interior of the 
circle, on the circle and in the exterior of the circle.
Radii 
PARTS 
OF THE 
CIRCLE 
diameters 
Chords 
ARCS 
Exterior 
POINTS 
Interior 
POINTS
Questions:
Q 
• Name the centre of the circle. 
Q 
• Name the radii. 
Q 
• Name the diameters. 
Q 
• Name the chords. 
• Which is the longest chord in the 
circle? 
A 
. 
O 
B 
C 
D 
E 
F 
G
Q 
• Name the centre of the circle. 
Q 
• Which points are known as interior 
points? 
• Name the interior points. 
Q 
• Why is point F known as exterior of the 
circle? 
Q 
• Name the arcs of the circle. 
.J 
.D 
. 
L 
.I 
.F 
M 
N 
O 
.K 
.S 
.T
Circle arcs&parts

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Circle arcs&parts

  • 1. Negative examples Positive examples Triangle Revolution of planet Hexagon Fan
  • 2. Negative Positive Square Rotation of planet Kite Tyre
  • 3. CIRCLE : Properties , arcs and points Std:VII
  • 4. S P . O Q The Centre of the circle is O. The radius(r) of the circle is SO. The diameter (d) of the circle is PQ PQ=2 x OP
  • 5. Properties of the radius & diameter
  • 6. Properties of radius: A F G . O C D B E H B AO=OB=OC=OD=OE=OF=OG=OH=------------- All the radii of a circle are equal in length. They are CONGRUENT to each other A circle has innumerable radii.
  • 7. Properties of a diameter: PQ=MN=XY=ST All the diameters of a circle are equal in length. All are CONGRUENT to each other A circle has innumerable diameters. P M N Q S X T Y
  • 8. AB=2 x OA • (if OA=4cm therefore AB=8cm) AB=2 x OB C A B The measure of the diameter of any circle is twice the length of its radius. O
  • 9. Chords of a circle
  • 10. MN is a chord • The line segment joining any two points on a circle is called a chord. PQ is the longest chord. • The diameter is the longest chord A circle has innumerable chords. M N P Q O S . O
  • 11. Arcs of a circle
  • 12. . O A B X A & B are 2 points on the circle. The 2 points divide the circle into 2 parts. Each part is called an arc of the circle. AXB is an arc.
  • 13. The interior & exterior of the circle
  • 14. . R . S . W . F .K . M . N . Y . T .P .Q
  • 15. Points- K,R,S,P,M are inside the circle. The points which are inside the circle are known as interior points. Points-W,T,Q,F,N,Y are outside the circle. The points which are outside the circle are known as exterior points. There are innumerable points in the interior of the circle, on the circle and in the exterior of the circle.
  • 16. Radii PARTS OF THE CIRCLE diameters Chords ARCS Exterior POINTS Interior POINTS
  • 18. Q • Name the centre of the circle. Q • Name the radii. Q • Name the diameters. Q • Name the chords. • Which is the longest chord in the circle? A . O B C D E F G
  • 19. Q • Name the centre of the circle. Q • Which points are known as interior points? • Name the interior points. Q • Why is point F known as exterior of the circle? Q • Name the arcs of the circle. .J .D . L .I .F M N O .K .S .T