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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
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CIRCLE
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.
Objectives
Circle (Basics)
O
= =
=
=
=
A
C D
EB
Radius
Diameter
Centre of
circle
Circumference
A circle is a shape with all points at the same distance from its centre.
It’s the distance across a circle through the
center.
It’s the distance from the center of a circle to any point on the
circle.
All points on the circle are at same distance from the
centre point.
It’s the distance around the circle.
Chord
O
A
EB
Chord
Chord
Diameter, the
biggest chord
Interior of the circle
Exterior of the circle
A chord is a straight line segment with its end points on the circumference of a circle
Arc
O
M
N
Chord
Major Arc
An arc is a part of a circumference of a
circle.Minor Arc
Minor Segmen
t
Major Segmen
t
1
2
SecantIf 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
AB
Chord
Secant
Sector
O
A B
Radius
Radius
Minor Sector
Major Sector
Sector of a circle is a portion of a circle enclosed by two radii and an arc.
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
A
B
M
N
O
A
B
P
Non-intersecting Line
Line AB and the circle have no
common points
SummaryLet 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
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.