# Circle

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Category: Sports

## Presentation Description

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## Presentation Transcript

### Slide1:

MATHEMATICS STANDARD: VI Bombay Cambridge Gurukul Bombay Cambridge Gurukul Circle

### Slide2:

Circle in daily life Circle in music Circle in sports Circle Centre Circumference Circular region Radius Diameter Chord Arc Semicircle Segments of a circle Crossword

A circle BACK

BACK

### Slide5:

Five rings in the logo of Olympic games BACK A circle

### Slide6:

A circle can be drawn with the help of a circular object. For example: A circle drawn with the help of a coin. A circle is a closed curve in a plane. BACK

### Slide7:

This fixed point (equidistant) inside a circle is called centre. 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. O Centre A circle A circle has one and only one centre. BACK

### Slide8:

The distance around a circle is called its circumference. O Centre A circle A BACK

### Slide9:

A circle divides a plane into three parts. 2. Interior of a circle 3. Exterior of a circle A plane The interior of a circle together with its circumference is called the circular region. BACK

### Slide10:

Radius A line segment that joins any point on the circle to its centre is called a radius. M A point on the circle (Contd…)

### Slide11:

Radii ( plural of radius) of a circle are equal in length. Infinite number of radius can be drawn in a circle. Radius Centre K O L M N (Contd…) BACK

### Slide12:

Diameter AB A line segment that joins any two points on the circle and passes through its centre is called a diameter. A B A circle (Contd…)

### Slide13:

A circle O M Infinite number of diameters can be drawn in a circle. As the radii of a circle are equal in length, its diameters too are equal in length. B Q (Contd…) P A N

### Slide14:

The length of the diameter of a circle is twice the length of its radius. Radius OM Centre M O N Radius ON Diameter MN Diameter MN = Radius OM + Radius ON Radius OM = Radius ON (Contd…) BACK

### Slide15:

A line segment that joins any two points on the circle is called a chord. O B A A is a point on the circle B is another point on the circle A line segment that joins point A and B Chord

### Slide16:

Diameter is also a chord of the circle. O Chord CD C D M N K L Chord MN Chord KL (Contd…) Diameter CD

### Slide17:

The diameter is the longest chord. O Diameter CD C D M N Chord MN (Contd…) C D M N Chord KL L K

### Slide18:

L K M N Chord MN Infinite number of chords can be drawn in a circle. Chord KL Chord GH G H BACK

### Slide19:

An arc is the distance between any two points on the circumference of a circle. (Contd…)

### Slide20:

An arc is named by three points, of which two are the end points of the arc and the third one lies in between them. Naming an arc (Contd…) Arc KXL

### Slide21:

X An arc divides the circle into two parts: the smaller arc is called the minor arc, the larger one is called the major arc. (Contd…)

### Slide22:

An arc An arc BACK

### Slide23:

Half of a circle is called a semicircle. Centre O Diameter D E S A semicircle is also an arc of the circle. R (Contd…)

### Slide24:

E Diameter Semicircular region Semicircular region The diameter of a circle divides it into 2 semicircular regions. D BACK

### Slide25:

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 (Contd…)

### Slide26:

D E Chord DE Minor segment of the circle Major segment of the circle P Q The part of the circular region enclosed by a minor arc and the chord is called a minor segment. Minor segment does not contain the centre of the circle. The part of the circular region enclosed by a major arc and the chord is called a major segment. Major segment contains the centre of the circle. BACK

Centre O

### Slide29:

Centre E D Diameter DE O

### Slide30:

Centre Chord PQ P Q O

Centre E G O F

### Slide32:

S Centre O Diameter Semicircle D E Semicircle

### Slide33:

C 2 C U M F E R N C E A E I Down 1. The distance between any two points on the circumference of the circle. 2. The distance around the circle. 3. The distance from the centre of the circle to a point on the circle. R D I U S R 1 C 3 R A Across: 4. The line segment that joins any two points on the circle and passes through its centre. 5. A closed curve in a plane. 6. All points on the circle are equidistant from this point. 7. A line segment that joins any two points on a circle. 4 D A M T E E 5 I R L E 6 C E N T E H R O D 7