CHOITHRAM INTERNATINAL INDORE Topic:Circle MATHEMATICS STANDARD: VI

Contents O F Circle in daily life Circle in music Circle in sports Radius OM Centre M Chord PQ P E D Q G Arc RE O F Diameter DE 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 Contents

CIRCLE IN DAILY LIFE A circle BACK

Many musical instruments have a circular surface. CIRCLE IN MUSIC Many musical instruments have a circular surface. For example: Bingo Drum Tabla Snare Drum Bass Drum BACK

Five rings in the logo of Olympic games CIRCLE IN SPORTS A circle Five rings in the logo of Olympic games BACK

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

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

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

A circle divides a plane into three parts. Circular Region A circle divides a plane into three parts. O Centre 3. Exterior of a circle 2. Interior of a circle 1. The circle A plane The interior of a circle together with its circumference is called the circular region. BACK

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

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

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

A circle O (Contd…) M A P Q B N Centre A A circle P O Q B N 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.

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

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

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

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

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

Arc O Centre Arc K L An arc is the distance between any two points on the circumference of a circle. (Contd…)

Naming an arc X K L O Centre Arc KXL 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. (Contd…)

X Minor Arc KXL K L O Centre Major Arc KYL Y 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…)

Example of an arc An arc An arc BACK

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

The diameter of a circle divides it into Semicircle DSE Centre O Semicircular region Diameter E D Semicircular region Semicircle DRE The diameter of a circle divides it into 2 semicircular regions. BACK

Minor segment of a circle Major segment of a circle Segments of a Circle S Minor segment of a circle E D Chord DE Centre O Major segment of a circle R A chord divides the circular region into 2 parts, each of which is called a segment of the circle. (Contd…)

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

Recap the Terms O Centre Radius Diameter Chord Arc Semi Circle

O M Radius Diameter Chord Arc Semi Circle Centre Radius OM M Radius Diameter Chord Arc Semi Circle

O Radius Diameter Chord Arc Semi Circle Diameter DE D E O Centre Radius Diameter Chord Arc Semi Circle

O Radius Diameter Chord Arc Semi Circle Q Chord PQ P O Centre Radius Diameter Chord Arc Semi Circle

O Radius Diameter Chord Arc Semi Circle Centre Arc PQR F G Radius Diameter Chord Arc Semi Circle

O Radius Diameter Chord Arc Semi circle Semicircle DSE Semicircle Diameter D E O Centre Semicircle Radius Diameter Chord Arc Semi circle

Circle Crossword Across: 2 C 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. 1 A 4 D I A M E T E 3 R R R A 5 C I R C L E D U I Circle Crossword M U F S E 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. 6 C E N T R E E N 7 C H O R D E

The Department of Math's The End Created by The Department of Math's I.B.O. CHOITHRAM