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CIRCLES AND
RELATED TOPICS
Introduction
In our daily life we come across many objects which
are round in shape such as wheels, bangles, coins,
dials of clocks, etc.
Circle
Definition
The collection of all points which are at fixed
distance from a fixed point, is called a circle.
Circle
Definition
The collection of all points which are at fixed
distance from a fixed point, is called a circle.
Circle
Definition
The collection of all points which are at fixed
distance from a fixed point, is called a circle.
The fixed point is called the centre and fixed
distance is called the radius of the circle.
Chord and diameter of the
circle
The line joining any two points of the circle is
called the chord of the circle.
Chord and diameter of the
circle
The line joining any two points of the circle is
called the chord of the circle.
The chord which passes through the centre is
called the diameter of the circle.
Diameter is the longest chord
All diameters have same length
Diameter = 2 * radius
Arc
A piece of a circle between two points is called an
arc.
Arc
A piece of a circle between two points is called an
arc.
The longer arc is called the major arc and smaller
arc is called the minor arc.
Segment
The region between the chord and minor arc is
called minor segment.
The region between the chord and major arc is
called major segment.
When P and Q are the endpoints of the diameter,
then both the segments are equal and each is called
semicircle.
Sector
The region between the arc and the two radii,
joining the centre to the endpoints of the arc is
called the sector.
Minor arc corresponds to the minor sector and
major arc corresponds to the major sector.
Length of the complete circle is called the
circumference of the circle.
Thank you

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Basic geometrical Ideas - Circles and related terms

  • 3. Introduction In our daily life we come across many objects which are round in shape such as wheels, bangles, coins, dials of clocks, etc.
  • 4. Circle Definition The collection of all points which are at fixed distance from a fixed point, is called a circle.
  • 5. Circle Definition The collection of all points which are at fixed distance from a fixed point, is called a circle.
  • 6. Circle Definition The collection of all points which are at fixed distance from a fixed point, is called a circle. The fixed point is called the centre and fixed distance is called the radius of the circle.
  • 7. Chord and diameter of the circle The line joining any two points of the circle is called the chord of the circle.
  • 8. Chord and diameter of the circle The line joining any two points of the circle is called the chord of the circle. The chord which passes through the centre is called the diameter of the circle.
  • 9. Diameter is the longest chord All diameters have same length Diameter = 2 * radius
  • 10. Arc A piece of a circle between two points is called an arc.
  • 11. Arc A piece of a circle between two points is called an arc. The longer arc is called the major arc and smaller arc is called the minor arc.
  • 12. Segment The region between the chord and minor arc is called minor segment. The region between the chord and major arc is called major segment.
  • 13. When P and Q are the endpoints of the diameter, then both the segments are equal and each is called semicircle.
  • 14. Sector The region between the arc and the two radii, joining the centre to the endpoints of the arc is called the sector. Minor arc corresponds to the minor sector and major arc corresponds to the major sector.
  • 15.
  • 16. Length of the complete circle is called the circumference of the circle.