Circle - Basics Introduction to circle for class 10th students and grade x maths and mathematics.Lets tute is an online learning centre. We provide quality education for all learners and 24/7 academic guidance through E-tutoring. Our Mission- Our aspiration is to be a renowned unpaid school on Web-World

1. CIRCLE

2. Objectives
After completing this module, you will be able to,
 Define a circle
 Define circle basics (chord, segment , sector, acr,
secant, etc)
 Define intersecting line, non-intersecting line and
tangent.

3. Circle (Basics)
A circle is a shape with all points at the same distance from its
A
B E
O
=
=
=
C D
Radius
It’s the distance from
the center of a circle
to any point on the
circle.
Diameter
Centre
of circle
Circumference
centre.
It’s the distance across
a circle through the
center.
All points on the circle are
at same distance from the
centre point.
It’s the distance around
the circle.

4. Chord
A chord is a straight line segment with its end points on the
circumference of a circle
A
Chord Chord
B E
O
Diameter,
the biggest chord
Interior of
the circle
Exterior of the circle

5. Arc
An arc is a part of a circumference of a circle.
O
M
N
Chord
Major Arc
Minor Arc
Minor
Segment
Major
Segment
1
2

6. Secant
If the line segment that forms a chord of a circle is
extended on both the sides, the straight line with two
points on the circle is known as a secant.
O
A
B
Chor
d
Secant

7. Sector
Sector of a circle is a portion of a circle enclosed by two radii and
an arc.
O
Major
Sector
Radius Radius
A B
Minor
Sector

8. Circle and a Line in a Plane
O
Secant
Line AB and the circle
have two common
points M and N
Tangent
There is only one point P
which is common to the
line AB and the circle
A
B
O
M
N
O
P
Non-intersecting Line
Line AB and the circle
have no common points

9. Summary
Let us revise what we have learnt in this session.
 A circle is a collection of all points in a plane which are
at a constant distance from a fixed point.
 Radius is the distance from the center of a circle to any
point on the circle.
 Diameter is the distance across a circle through the
center.
 Circumference is the distance around the circle.
 A chord is a straight line segment with its end points
on the circumference of a circle

10. Summary
 An arc is a part of a circumference of a circle.
 If the line segment that forms a chord of a circle is
extended on both the sides, the straight line with two
points on the circle is known as a secant.
 Sector of a circle is a portion of a circle enclosed by
two radii and an arc.
 Intersecting line have two common points & Non-intersecting
line have no common points with the
circle.
 Tangent have only one common point with the circle.