MATHEMATICS STANDARD : VI Bombay Cambridge Gurukul Bombay Cambridge Gurukul Circle
Contents 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 S Radius OM Centre M Chord PQ P E D Q G Arc RE O F Diameter DE
CIRCLE IN MUSIC BACK Many musical instruments have a circular surface. For example: Bingo Drum Tabla Snare Drum Bass Drum
CIRCLE IN SPORTS Five rings in the logo of Olympic games BACK A circle
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. What is a Circle? BACK
This fixed point (equidistant) inside a circle is called centre. 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. O Centre A circle A circle has one and only one centre. BACK
The distance around a circle is called its circumference. O Centre Circumference A circle A BACK
Circular Region 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 O Centre 1. The circle
Radius A line segment that joins any point on the circle to its centre is called a radius. M A point on the circle Radius (Contd…) Centre O
R (Contd…) Arc DSE Semicircle DRE Semicircle DSE Arc DRE
E Diameter Semicircular region Semicircular region The diameter of a circle divides it into 2 semicircular regions. D BACK Centre O Semicircle DSE Semicircle DRE
Segments of a Circle 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…)
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 Minor arc DPE Major arc DQE
Radius Diameter Chord Arc Semi Circle Centre O Recap the Terms
Radius Diameter Chord Arc Semi Circle Radius OM Centre M O
Radius Diameter Chord Arc Semi Circle Centre E D Diameter DE O
Radius Diameter Chord Arc Semi Circle Centre Chord PQ P Q O
Radius Diameter Chord Arc Semi Circle Centre E G O F Arc PQR
Radius Diameter Chord Arc Semi circle S Centre O Diameter Semicircle D E Semicircle Semicircle DSE
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 Circle Crossword
Created by The Department of Research Bombay Cambridge Gurukul The End