Basic Terms(Circles)

14
Basic terms… Circles By Rashmi Kathuria
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    11-Sep-2014
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This is a presentation to learn basic terms related to circles in mathematics.

Transcript of Basic Terms(Circles)

Page 1: Basic Terms(Circles)

Basic terms… Circles

By Rashmi Kathuria

Page 2: Basic Terms(Circles)

Basic terms related

to circle

Page 3: Basic Terms(Circles)

What is a circle?A circle is a locus of a point in a plane which

moves such that its distance from

a fixed point in the same plane remains

constant.The fixed point is

called the centre of the circle and the fixed distance is

called the radius.

O

P

Here O is the centre and OPis the radius.

Page 4: Basic Terms(Circles)

The bottom and top of a bucket is usually a circle.A playing drum is circular. A clock is usually circular. The top of the table shown below is a circle.

Look around you! There are circles everywhere!

Page 5: Basic Terms(Circles)

Centre & radius

Chord

Minor arc & major arc

Diameter

Minor segment & major segment

Central angle

CircumferenceCircular region

Sector

Page 6: Basic Terms(Circles)

A line segment joining any two points

on the circle is called a chord of a circle.

O

Here AB is a chord .

A B

Chord

Page 7: Basic Terms(Circles)

A chord passing through the centre of the circle is called the diameter . It is

the longest chord.

A B

C

D

Here AB is diameter.

Diameter

Page 8: Basic Terms(Circles)

The circumference of a circle is the distance

around the outside of it.

Here light blue portion is circular region.

Circumference

Page 9: Basic Terms(Circles)

A circle along with its interior is called the

circular region.

Circular region

Circular region

Page 10: Basic Terms(Circles)

Any two points of the circle divide the circle into two parts called the arcs .

The smaller part is called the minor arc and the larger part is called the major

arc. In case the two parts are equal each one of them is called a semicircle. .

Horizontal lines regionis the minor segment and the remaining circular region is the major segment

Minor arc ,Major arc

Page 11: Basic Terms(Circles)

A chord divides a circular region into two parts called the segments of the

circular region. The smaller segment is called as minor segment and the larger

segment is called as the major segment.

Horizontal lines regionis the minor segment and the remaining circular region is the major segment

Minor Segment,Major Segment

Page 12: Basic Terms(Circles)

The angle subtended by an arc at the

centre of the circle is called the central

angle.

A

B

Central angle

Page 13: Basic Terms(Circles)

A

B

Corresponding to a given arc, the region bounded by thetwo radii and the arc itself.Sector

Page 14: Basic Terms(Circles)