This document provides definitions and examples related to circles and their components. It defines circles, secants, tangents, segments of a circle, and sectors of a circle. It includes illustrative examples showing how to identify these components in diagrams and apply the definitions. It also provides practice problems asking students to identify these parts of circles from diagrams and apply the definitions.

2. Review:
Identify the name of the circle,
chords, arcs, central angles, and
inscribed angles that can be
found from the given circle.

3. JUMBLED LETTERS

4. ANGTENT
TANGENT

5. CANTES
SECANT

6. ENTMGES FO A
ELCCIR
SEGMENT OF A CIRCLE

7. OTCERS FO A
CIRELC
SECTOR OF A CIRCLE

8. What is a line intersecting a
circle at two distinct points?
SECANT

9. A secant is a line which
intersects the circle at two
distinct points.

10. What is a line, a ray, or a
segment in the plane of the
circle intersecting a circle at
exactly one point?
TANGENT

11. A tangent to a circle is a line, a
ray, or a segment in the plane of
the circle which intersects the
circle at exactly one point. This
point is called the point of
tangency.

12. What do you call the region
bounded by an arc and the
chord of the arc?
SEGMENT OF A CIRCLE

13. A segment of a circle is the
region bounded by the arc and
the chord of the arc.

14. What do you call the region
bounded by an arc of a circle
and the two radii to endpoints of
the arc?
SECTOR OF A CIRCLE

15. A sector of a circle is the region
bounded by the arc of the circle
and the two radii to endpoints of
the arc.

16. Illustrative Examples:
1. In the figure, 𝐾𝐿, 𝐾𝑁, 𝑀𝑃, and 𝑀𝐿
intersect ⊙ 𝑄 at some points.
a. Which lines are tangent to the
circle? Why?
b. Which lines are secants? Why?
c. What point does each secant
intersect the circle? How about
tangents?

17. Illustrative Examples:
d. Which angles are formed by
two secant lines?
Two tangents?
A tangent and a secant?
e. If ∠𝐾𝑄𝑀 is bounded by a
region, how do we call it?
If 𝑁𝐾 and 𝑃𝑀 is bounded by a
region, how do we call it?

18. Illustrative Examples:
2. Do the following.
a. Draw circle M with two radii.
b. tangent 𝐴𝐺 intersects ⊙ 𝑀 at point A
c. secant 𝐴𝐸
d. shade the segment of the circle
e. shade the sector of the circle

19. By pair: 1
2 crosswise
Given the figure, answer the following
questions.
1. Which lines are tangent to the circle?
Why?
2. Which lines are secants? Why?
3. What point does each secant
intersect the circle? How about
tangents?
4. Which is the sector of the circle?
5. Which are the segments of the circle?

20. Individual: 1
4 sheet
Illustrate the following.
1. Draw ⊙ 𝐴 with two radii.
2. tangent 𝐶𝐹 intersects ⊙ 𝐴 at point C
3. secant 𝑇𝐶
4. tangent 𝐹𝐺
5. secant 𝐵𝐺
6. shade the segment of the circle
7. shade the sector of the circle