CHORDS, ARCS AND ANGLES
CIRCLE
CIRCLE
 A circle is a set of all
points in a plane which
are a given distance r
from a given point on
the plane.
 The fixed point A is
called the center of the
circle, and r is the
radius.
 A circle is named after
its center
CHORD
A chord is
a segment
joining
two points
on a circle.
A is the
center of
the circle.
BE
CE
CD
BC
MINOR AND MAJOR ARC
 A minor arc is an arc smaller than a semicircle. A chord, a central
angle or an inscribe angle may divide a circle into two arcs. The larger
of the two arcs is called the major arc. The measure of a major arc is
the difference between 360 and the measure of its related minor arc.
EXAMPLE
Name 4 minor arcs:
Name 3 major arcs:
CENTRAL ANGLE
 A central angle of a circle is an angle whose vertex is the center of the
circle. The measure of a central angle is equal to the measure of its
intercepted arc.
EXAMPLE
Name 2 central angles:
INSCRIBED ANGLE
 An inscribed angle is an angle with its vertex on the circle and its sides
contains the ends points of a chord. The measure of an inscribed angle
is one-half the measure of its intercepted arc.
EXAMPLE
EXAMPLE
EXAMPLE

Mathematics CHORDS, ARCS AND ANGLES.pptx

  • 1.
    CHORDS, ARCS ANDANGLES CIRCLE
  • 2.
    CIRCLE  A circleis a set of all points in a plane which are a given distance r from a given point on the plane.  The fixed point A is called the center of the circle, and r is the radius.  A circle is named after its center
  • 3.
    CHORD A chord is asegment joining two points on a circle. A is the center of the circle. BE CE CD BC
  • 4.
    MINOR AND MAJORARC  A minor arc is an arc smaller than a semicircle. A chord, a central angle or an inscribe angle may divide a circle into two arcs. The larger of the two arcs is called the major arc. The measure of a major arc is the difference between 360 and the measure of its related minor arc.
  • 5.
    EXAMPLE Name 4 minorarcs: Name 3 major arcs:
  • 6.
    CENTRAL ANGLE  Acentral angle of a circle is an angle whose vertex is the center of the circle. The measure of a central angle is equal to the measure of its intercepted arc.
  • 7.
  • 8.
    INSCRIBED ANGLE  Aninscribed angle is an angle with its vertex on the circle and its sides contains the ends points of a chord. The measure of an inscribed angle is one-half the measure of its intercepted arc.
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