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•A circle is the collection of all points in
the plane, which are equidistant from a
fixed point in the plane.
• A circle is a plane figure.
• Euclid discovered the circle.
•The fixed point is called the centre of
the circle
• The fixed distance is called the radius
of the circle.
• The longest chord of the circle is the
diameter of the circle.
If the length of two chords
are equal then their
distance from centre is
also equal.
D




    O
A




        C

    B
O is the centre.
AB and CD are two equal chords.




Angle AOB = Angle COD
In      AOB and    COD
     AO = CO                   (Radius of
  circle)
     AB = CD                    (Given)
     OB = OD                    (Radius of
  circle)
  By SSS Congruence rule,
      AOB is congruent to COD
By c o r r e s p o n d i n g p a r t o f
c o n g r u e n t t r i a n g l e
  A n g l e A OB = A n g l e COD
Harsha Detani    9031
Dimple Tak       9024
Nikita Soni      906
Harshita Tomar   2
                 903
                 5
Heena Detani     903
Kriti Singhal    6
                 904

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maths ppt on circles

  • 1.
  • 2.
  • 3. •A circle is the collection of all points in the plane, which are equidistant from a fixed point in the plane. • A circle is a plane figure. • Euclid discovered the circle. •The fixed point is called the centre of the circle • The fixed distance is called the radius of the circle. • The longest chord of the circle is the diameter of the circle.
  • 4. If the length of two chords are equal then their distance from centre is also equal.
  • 5.
  • 6.
  • 7.
  • 8.
  • 9. D O A C B
  • 10. O is the centre. AB and CD are two equal chords. Angle AOB = Angle COD
  • 11. In AOB and COD AO = CO (Radius of circle) AB = CD (Given) OB = OD (Radius of circle) By SSS Congruence rule, AOB is congruent to COD By c o r r e s p o n d i n g p a r t o f c o n g r u e n t t r i a n g l e A n g l e A OB = A n g l e COD
  • 12. Harsha Detani 9031 Dimple Tak 9024 Nikita Soni 906 Harshita Tomar 2 903 5 Heena Detani 903 Kriti Singhal 6 904