PRESENTATION ABOUT CIRCLES

1. CIRCLES
Chords, arcs, central angles, and
inscribed angles

2. RECAP!
Describe the end behavior of the following.
1. f(x) = 𝑥4 − 2𝑥2 − 15
2. f(x) =𝑥3 − 3𝑥2 + 1
3. f(x) = 2𝑥2 − 4x − 2
4. f(x) = x − 3

3. ACTIVITY: ARRANGE ME!
I C L E R C
ANSWER: CIRCLE

4. C R O D H
ANSWER:CHORD

5. D I U S A R
ANSWER: RADIUS

6. C R A S
ANSWER: ARCS

7. C E N R T A L
E L G N A
ANSWER: CENTRAL ANGLE

8. D A I M E T R E
ANSWER: DIAMETER

9. Learning Objectives:
At the end of 60-minute period with 80%
proficiency level, the learners are expected to:
a.) Define and identify the chords, arcs, central
and inscribed angles of a circle
b.) Name and illustrate the chords, arcs,
central and inscribed angles of a circle
c.) Value accumulated knowledge as means of
new understanding

10. CIRCLE
 It is a set of all points with the same distance from a
fixed point called the center.
 The point is called the center o central point.
 Circles are named through its central point.
● A

11. RADIUS
 It is a segment whose endpoints are the center and
a point on the circle.
B ● A

12. DIAMETER
 It is a chord that passes through the center of the circle.
 It is the longest chord of a circle.
 Its length is twice as the radius.
D
B
E
● A

13. CHORD
 It is a line segment that has its endpoints on the
circle.
C
B ● A

14. Arcs
 It is a part of a circle between any two points.
 It is measured in terms of degrees.
 A circle itself is an arc that measures 360°.
Classification:
a. Minor arcs- is an arc that measures less than a
semicircle.
- It is named usually by using two endpoints.

15. b. Semicircle- is an arc which is one-half of a circle.
- It measures exactly 180°.
c. Major arcs- is an arc that is greater than the
semicircle which measures between 180° and 360°.

16. Central angle
 It is an angle formed by two rays whose vertex is
the center point of the circle.
 Each ray intersects the circle at point, dividing into
arcs.
Inscribed angle
 It is an angle whose vertex is on the circle and
whose sides contain chords of the circle.

17. ACTIVITY TIME!
Direction: Use ⊙A below to name and identify the following.
1. Radius/radii
2. Diameter Q
3. Chords
4. Semicircle S
U
5. Minor arcs
6. Major arcs R
7. Central angles T L
8. Inscribed angles
● O

18. ACTIVITY!
a. Draw circle A
b. Locate three points on the circle such as B, C,
and D.
c. Connect point A and point B
d. Name the segment formed then what do you call
to segment AB in relation to circle.
e. Supposed you will cut the circle along points A and
C, what happens to the circle?

19. Quiz.
Directions: Read the question carefully then write the
letter of the correct answer from the given choices.
1. It is a line segment that has its endpoints on the
circle.
a. Radius
b. Chord
c. Arcs
d. Diameter

20. 2. It is a set of all points with the same distance from
the fixed point called the center.
a. Circle
b. Chord
c. Radius
d. Diameter

21. 3. In the figure below, which is the central angle?
a. ∠ 𝐽𝐴𝐿 K L
b. 𝐴𝑀
c. 𝐾𝐿 J M
d. 𝐻𝐿
H
G
For items 4-5, name and identify 2 semicircles on the
figure in number 3.
● A

22. ASSIGNMENT:
Study the theorems on arcs, chords, central angles,
ad inscribed angles.

23. THANK YOU FOR
LISTENING!