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By Vinay
Knowledge : Student will able to recall the circle and its
parts.
Understanding :Student will able to explain the parts of
circle like diameter , chord , segment , etc.
Skill :Student will able to draw the circle and its parts.
Application : Student will able to analyse things which are
in circle shape.
Teaching points
1. Circle
2. Parts of Circle
 Radius
 Diameter
 Chord
 Concentric
circles
 Arc
 Segment
 Semicircle
 Secant and
Tangent
CIRCLE
Definition : A circle is set
of points in plane that are
equidistant from a given
fixed point in plane.
Thus , a circle is path
traced by point in a plane
which moves such that its
distant from fixed point in
plane is a constant. The
fixed point is called centre.
Centre
A circle
Examples
PARTS OF CIRCLE
1. Radius
Definition : A radius of a circle
is a line segment joining the
centre to any point on the circle .
Infinite number of
radius can be drawn in a circle .
Radii of circle are equal in
length.
2. Diameter
Definition : A diameter of a circle is line segment that joints any
points on the circle and passes through its centre.
Infinite number of diameters can be drawn in a circle an
are equal in length.
3.Chord
Definition : A line segment that joins any two points on the
circle is called chord .
Diameter is also longest chord of the circle . Infinite number
of chords can be drawn.
O
C D
M
N
K
L
4.Arc
Definition : An arc of a circle is a
part of circle included between
two distinct points of the circle.
Any chord other than the
diameter divides the
circumference into two unequal
parts , two unequal arcs.
The larger arc is called major arc
and the smaller one is called
minor arc.
O
Centre
LK
X
Y
The longest arc of circle which forms the circle is called
circumference
5 Segments of a circle
Definition : A chord divides the
circular region into two parts,
each of which is called a
segment of circle.
The segment that contains
centre inside is called major
segment . The segment doesnot
contain the centre is called
minor segment.
Definition : The diameter of a circle divides it into
two equal halves and each half is called semicircle.
Definition : A line that intersects a circle in two distinct points is
called a secant.
Definition : A line that just touches circle atone point at outside
is called tangent.
Definition : Two or more circles in same plane are called
concentric circles if they have same centre.
Concentric Circles
..
Video
Evaluation
Fill in the blanks with suitable answers.
1. The fixed point is called
2. Line joining centre to any point on the circle is called
3. is the longest chord of circle.
4. The larger arc is called
5. The longest arc of circle which forms the circle is called
Answers
1. Centre.
2. Radius.
3. Diameter.
4. Major arc.
5. Circumference.
Circle basic concepts

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UGC NET Paper 1 Mathematical Reasoning & Aptitude.pdf
 

Circle basic concepts

  • 2. Knowledge : Student will able to recall the circle and its parts. Understanding :Student will able to explain the parts of circle like diameter , chord , segment , etc. Skill :Student will able to draw the circle and its parts. Application : Student will able to analyse things which are in circle shape.
  • 3. Teaching points 1. Circle 2. Parts of Circle  Radius  Diameter  Chord  Concentric circles  Arc  Segment  Semicircle  Secant and Tangent
  • 4. CIRCLE Definition : A circle is set of points in plane that are equidistant from a given fixed point in plane. Thus , a circle is path traced by point in a plane which moves such that its distant from fixed point in plane is a constant. The fixed point is called centre. Centre
  • 6. PARTS OF CIRCLE 1. Radius Definition : A radius of a circle is a line segment joining the centre to any point on the circle . Infinite number of radius can be drawn in a circle . Radii of circle are equal in length.
  • 7. 2. Diameter Definition : A diameter of a circle is line segment that joints any points on the circle and passes through its centre. Infinite number of diameters can be drawn in a circle an are equal in length.
  • 8. 3.Chord Definition : A line segment that joins any two points on the circle is called chord . Diameter is also longest chord of the circle . Infinite number of chords can be drawn. O C D M N K L
  • 9. 4.Arc Definition : An arc of a circle is a part of circle included between two distinct points of the circle. Any chord other than the diameter divides the circumference into two unequal parts , two unequal arcs. The larger arc is called major arc and the smaller one is called minor arc. O Centre LK X Y The longest arc of circle which forms the circle is called circumference
  • 10. 5 Segments of a circle Definition : A chord divides the circular region into two parts, each of which is called a segment of circle. The segment that contains centre inside is called major segment . The segment doesnot contain the centre is called minor segment.
  • 11. Definition : The diameter of a circle divides it into two equal halves and each half is called semicircle.
  • 12. Definition : A line that intersects a circle in two distinct points is called a secant. Definition : A line that just touches circle atone point at outside is called tangent.
  • 13. Definition : Two or more circles in same plane are called concentric circles if they have same centre. Concentric Circles .. Video
  • 14. Evaluation Fill in the blanks with suitable answers. 1. The fixed point is called 2. Line joining centre to any point on the circle is called 3. is the longest chord of circle. 4. The larger arc is called 5. The longest arc of circle which forms the circle is called
  • 15. Answers 1. Centre. 2. Radius. 3. Diameter. 4. Major arc. 5. Circumference.