Chords, Arcs and Angles

1. CHORDS, ARCS AND ANGLES
CIRCLE

2. 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

3. CHORD
A chord is
a segment
joining
two points
on a circle.
A is the
center of
the circle.
BE
CE
CD
BC

4. 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.

5. EXAMPLE
Name 4 minor arcs:
Name 3 major arcs:

6. 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.

7. EXAMPLE
Name 2 central angles:

8. 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.

9. EXAMPLE

10. EXAMPLE

11. EXAMPLE