This document defines and identifies the key parts of a circle, including the circumference, radius, chord, diameter, secant, tangent, arc, central angle, and inscribed angle. It provides examples and diagrams to illustrate each part. The main objectives are to define a circle and its parts, identify the parts of a circle, and have students actively participate in discussing and creatively illustrating the parts of a circle. Key terms are defined, such as a radius being the distance from the center to the edge and a diameter passing through the center, with examples of identifying these parts and other elements like chords, tangents, and angles within circles.

1. GOOD
AFTERNOON!
Presented by Lorejane Balleno

2. Presented by Lorejane Balleno
THE CIRCLE
AND ITS
PARTS

3. OBJECTIVES:
a. define circle and its parts;
b. identify the parts of a
circle;
c. actively participates in the
discussion; and
d. illustrate the parts of a
circle creatively.

4. 1
CIRCLE
 set of all points in the
plane that are the same
distance away from a
specific point, called
the center
 circle C or ⊙ C

5. 2
CIRCUMFERENCE
 distance around a circle

6. 3
RADIUS
 distance between the center of
the circle and a point on the
circle
 The line segment CQ (CQ), line
segment CR (CR), and line
segment CP (CP) are the radii of
circle C.
radius CQ, radius CR,
and radius CP.

7. Name the following in
the given figure:
a. center;
b. circle; and
c. radii.
a) point A
b) circle A
c) AC & AB

8. 4
CHORD
 A line segment whose endpoints
are on the circle.
 The line segment QR (QR), line
segment RP (RP), and line
segment QP (QP) are the chords
of circle C.

9. 5
DIAMETER
 a chord that passes through
the center of the circle
 The line segment QS (QS) is
the diameter of circle C.

10. Name the following in
the given circle A:
a. chord;
b. diameter; and
c. radii
a) DE & CB
b) CB
c) AC & AB

11. 6
SECANT
 A line that intersects a
circle in exactly two
points.
 Line QS (QS) and line QR
(QR) are the secants of
circle C.

12. 7
TANGENT
 A line that intersects a circle in
exactly one point; the point where it
intersects the circle is called the point
of tangency.
 The line UV (UV) is tangent to circle C,
and the point of tangency is point T.

13. Name the following in
the given circle A:
a. tangent;
b. point of tangency;
c. chord; and
d. secant.
a) line l
b) point F
c) BC
d) BC or line m

14. 8
ARC
 A portion of a circle formed between two points
on the circle.
1. Minor Arc-
2. Major Arc-
is the shorter arc connecting
two endpoints on a circle
is the longer arc connecting
two endpoints on a circle

15. 8
ARC
 A portion of a circle formed between two
points on the circle.
 Arc PQ (PQ) is THE minor arc, and arc PRQ
(PRQ) is the major arc.

16. 9
CENTRAL ANGLE
 An angle whose vertex is the center of
the circle and the sides are two radii.
 The central angle is ∠QOP.

17. 10
INSCRIBED ANGLE
 An angle whose vertex is on the circle
and the sides are two chords.
 The inscribed angle is ∠PRQ.

18. Name the following in
the given figure:
a. arc/s;
b. central angle; and
c. inscribed angle/s.
a. MINOR ARCS: BE,
EC, CD, DB and DE
MAJOR ARCS: ECB,
CBE, CED, DCB and
DCE
b. ∠BAD and ∠DAC
c. ∠CBE, ∠BCD,
∠ECB, ∠BEC and
∠ECD

19. True
Reviewing Concept Is a Good Idea
Chord
Radius Tangent
The distance between
the midpoint and the
circle border.
A line segment with
both endpoints on the
circle.
A line that touches a
circle at only one
point.
False True
Every chord can be a
diameter.
The center of a circle
is the point
equidistant from the
points on the edge.
Circle is not a
polygon.

20. THANK YOU FOR
LISTENING! :)