MATHEMATICS 7
QUARTER 3 WEEK 7
CIRCLE
and its parts
Objectives:
• Define, identify and name the terms
related to the circle:
a. center d. diameter
b. radius e. arc
c. chord
CIRCLE AND ITS PARTS
• A circle is the set
of all points in a
plane at a given
distance (radius)
from a given point
(center) in the
plane.
CIRCLE AND ITS PARTS
• A circle is the set
of all points in a
plane at a given
distance (radius)
from a given point
(center) in the
plane.
CIRCLE AND ITS PARTS
It is named by its
center.
• A
CIRCLE AND ITS PARTS
A radius of a circle
is a line segment
from center to any
point of the circle.
radii:
CIRCLE AND ITS PARTS
A chord of a circle
is a line segment
whose endpoints lie
on the circle
CIRCLE AND ITS PARTS
A diameter of a
circle is a chord
containing the
center.
CIRCLE AND ITS PARTS
1. Name the circle.
2. Identify all
diameters.
3. Identify all radii.
4. Identify all
chords.
CIRCLE AND ITS PARTS
Name the following:
1. Name the circle.
2. Identify all
diameters.
3. Identify all radii.
4. Identify all
chords.
ARCS OF A CIRCLE
•semicircle
•minor arc
•major arc
ARCS OF A CIRCLE
• A semicircle is an
arc of a circle
whose endpoints
are the points of
the diameter.
ARCS OF A CIRCLE
• A minor arc is an
arc of a circle that
is smaller than a
semicircle
ARCS OF A CIRCLE
• A major arc is an
arc of a circle that
is larger than a
semicircle.
ANGLES OF A CIRCLE
• A central angle is
an angle whose
vertex is the center
of the circle.
ANGLES OF A CIRCLE
• A central angle is
an angle whose
vertex is the center
of the circle.
• An inscribed angle
is an angle whose
vertex is the center
of the circle
• An inscribed angle
is an angle whose
vertex is the center
of the circle
SECANT AND TANGENT OF A CIRCLE
• A secant of a circle
is a line that
intersects the
circle in two points.
SECANT AND TANGENT OF A CIRCLE
• A tangent of a
circle is a line lying
on the same plane
that intersects the
circle in exactly
one point.
SECANT AND TANGENT OF A CIRCLE
POINT OF
TANGENCY
• E
EXERCISES
ASSIGNMENT

Mathematics 7 Quarter 3 Week 7 - Circles

  • 1.
  • 4.
  • 5.
    Objectives: • Define, identifyand name the terms related to the circle: a. center d. diameter b. radius e. arc c. chord
  • 6.
    CIRCLE AND ITSPARTS • A circle is the set of all points in a plane at a given distance (radius) from a given point (center) in the plane.
  • 7.
    CIRCLE AND ITSPARTS • A circle is the set of all points in a plane at a given distance (radius) from a given point (center) in the plane.
  • 8.
    CIRCLE AND ITSPARTS It is named by its center. • A
  • 9.
    CIRCLE AND ITSPARTS A radius of a circle is a line segment from center to any point of the circle. radii:
  • 10.
    CIRCLE AND ITSPARTS A chord of a circle is a line segment whose endpoints lie on the circle
  • 11.
    CIRCLE AND ITSPARTS A diameter of a circle is a chord containing the center.
  • 12.
    CIRCLE AND ITSPARTS 1. Name the circle. 2. Identify all diameters. 3. Identify all radii. 4. Identify all chords.
  • 13.
    CIRCLE AND ITSPARTS Name the following: 1. Name the circle. 2. Identify all diameters. 3. Identify all radii. 4. Identify all chords.
  • 14.
    ARCS OF ACIRCLE •semicircle •minor arc •major arc
  • 15.
    ARCS OF ACIRCLE • A semicircle is an arc of a circle whose endpoints are the points of the diameter.
  • 16.
    ARCS OF ACIRCLE • A minor arc is an arc of a circle that is smaller than a semicircle
  • 17.
    ARCS OF ACIRCLE • A major arc is an arc of a circle that is larger than a semicircle.
  • 19.
    ANGLES OF ACIRCLE • A central angle is an angle whose vertex is the center of the circle.
  • 20.
    ANGLES OF ACIRCLE • A central angle is an angle whose vertex is the center of the circle.
  • 21.
    • An inscribedangle is an angle whose vertex is the center of the circle
  • 22.
    • An inscribedangle is an angle whose vertex is the center of the circle
  • 24.
    SECANT AND TANGENTOF A CIRCLE • A secant of a circle is a line that intersects the circle in two points.
  • 25.
    SECANT AND TANGENTOF A CIRCLE • A tangent of a circle is a line lying on the same plane that intersects the circle in exactly one point.
  • 26.
    SECANT AND TANGENTOF A CIRCLE POINT OF TANGENCY • E
  • 27.
  • 28.