Circle and its Parts
Objectives
At the end of our lesson, we must be able to:
 Identify and define the different parts of the circle
 Recognize the relationship of the different parts of the circle
 Determine how to name (label) each part of the circle
What is a CIRCLE?
A circle is a plane curve
consisting of all points
that have the same
distance from a fixed
point
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Parts of the Circle
Center
A circle is a plane curve
consisting of all points that
have the same distance from
a fixed point, called the
CENTER.
In Figure 1 on the right, the
center is called point C. It is
also called Circle C and
labeled as ⨀C.
C
Figure 1
Radius
Its measure is half of the
diameter.
C
Figure 1
The radii of a circle are equal
in length.
A line segment that joins any
point on the circle to its center
Example: CM, CP, CS
M P
O
N
Q
R
S
Chord
C
Figure 1
It doesn’t necessarily need to
pass the center
A line segment that connects
two points in the circle
Example: MP, NP
M P
O
N
Q
R
S
Diameter
C
Figure 1
Its measure is twice the
radius.
A chord that passes through
the center of the circle
Example: MO, SP
M P
O
N
Q
R
S
Secant Line
C
Figure 1
Any line that contains the
chord of a circle
Example: MP, SQ
M P
O
N
Q
R
S
Tangent Line
C
Figure 1
Any line that intersects at
exactly one point on the circle
Example: K and point M is
the point of tangency
M P
O
N
Q
R
S
It is always perpendicular to
the radius of a circle to the
point of tangency
K
Point of tangency is the point
at which a line intersects a
circle

Circle and its parts

  • 1.
  • 2.
    Objectives At the endof our lesson, we must be able to:  Identify and define the different parts of the circle  Recognize the relationship of the different parts of the circle  Determine how to name (label) each part of the circle
  • 3.
    What is aCIRCLE? A circle is a plane curve consisting of all points that have the same distance from a fixed point
  • 4.
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  • 5.
  • 6.
    Center A circle isa plane curve consisting of all points that have the same distance from a fixed point, called the CENTER. In Figure 1 on the right, the center is called point C. It is also called Circle C and labeled as ⨀C. C Figure 1
  • 7.
    Radius Its measure ishalf of the diameter. C Figure 1 The radii of a circle are equal in length. A line segment that joins any point on the circle to its center Example: CM, CP, CS M P O N Q R S
  • 8.
    Chord C Figure 1 It doesn’tnecessarily need to pass the center A line segment that connects two points in the circle Example: MP, NP M P O N Q R S
  • 9.
    Diameter C Figure 1 Its measureis twice the radius. A chord that passes through the center of the circle Example: MO, SP M P O N Q R S
  • 10.
    Secant Line C Figure 1 Anyline that contains the chord of a circle Example: MP, SQ M P O N Q R S
  • 11.
    Tangent Line C Figure 1 Anyline that intersects at exactly one point on the circle Example: K and point M is the point of tangency M P O N Q R S It is always perpendicular to the radius of a circle to the point of tangency K Point of tangency is the point at which a line intersects a circle