Circle - Basic Introduction to circle for class 10th maths.

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CIRCLE

description

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

Transcript of Circle - Basic Introduction to circle for class 10th maths.

Page 1: Circle - Basic Introduction to circle for class 10th maths.

CIRCLE

Page 2: Circle - Basic Introduction to circle for class 10th maths.

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

Page 3: Circle - Basic Introduction to circle for class 10th maths.

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.

Page 4: Circle - Basic Introduction to circle for class 10th maths.

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

Page 5: Circle - Basic Introduction to circle for class 10th maths.

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

Page 6: Circle - Basic Introduction to circle for class 10th maths.

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

Page 7: Circle - Basic Introduction to circle for class 10th maths.

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.

Page 8: Circle - Basic Introduction to circle for class 10th maths.

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

Page 9: Circle - Basic Introduction to circle for class 10th maths.

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

Page 10: Circle - Basic Introduction to circle for class 10th maths.

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.

Page 11: Circle - Basic Introduction to circle for class 10th maths.