All About Circles that a Beginner has got to know!
Includes all the parts of a circle and basic relations between arcs, segments, sectors, diameters and radii.
6. OCentre A circle
A circle is a closed curve consisting of all points in
a plane which are at the same distance(equidistant)
from a fixed point inside it.
This fixed point (equidistant) inside a circle is called
center.
A circle has one and only one centre.
8. 2. Interior of a Circle
O
1. The circle
3. Exterior of a Circle
A
B
A circle divides a plane into three parts- the circle, Interior and the Exterior.
9. A
O
A line segment that joins any point on the circle
to its center is called a radius.
Radii (plural of radius) of a circle are equal in
length
Infinite number of radius can be drawn in a
circle.
M
N
L
11. O
B
Q
P
A
N
M
As the radii of a circle are equal in length, its
diameters too are equal in length.
Infinite number of diameters can be drawn
in a circle.
12. Radius OM
M
O
N
Radius ON
Diameter MN
Radius OM = Radius ON
Diameter MN = Radius OM + Radius ON
The length of the diameter of a circle is
twice the length of its radius.
13. B
A
A is a point on the
circle
B is also a point on
the circle
A line segment that joins any two points on the circle is called a chord.
15. Diameter CD
C D
M N
Chord MN
C D
M N
Chord KL
LK
The diameter is the longest chord.
16. An arc is the distance between any two points on the circumference of a circle.
O
Centre
K L
17. Half of a circle is called a semicircle.
Centre
O
Diameter
D E
S
A semicircle is also an arc of the circle.
R
Arc DSE
Semicircle DRE
Semicircle DSE
Arc DRE
18. A chord divides the circular region into 2 parts, each of which is
called a segment of the circle.
Centre
O
D E
Chord DE
Minor segment of a circle
Major segment of a circle
S
R