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AGENDA Notes on Circles Notes on Central Angles Practice Worksheet

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Presentation on theme: "AGENDA Notes on Circles Notes on Central Angles Practice Worksheet"— Presentation transcript:

1 AGENDA Notes on Circles Notes on Central Angles Practice Worksheet
Homework Worksheet

2 Unit 3 Circles

3 Segments of Circles

4 Parts of a Circle Circle – set of all points _________ from a given point called the _____ of the circle. equidistant C center Symbol: C

5 CHORD: A segment whose endpoints are on the circle

6 Radius RADIUS: Segment from the center to point on circle P

7 A Chord that passes through the center.
Diameter DIAMETER: A Chord that passes through the center. P Also known as the longest chord.

8 D = ? 24 32 12 r = ? 16 r = ? 4.5 6 D = ? 12 9

9 Use P to determine whether each statement is true or false.
Q R T S True: thumbs up False: thumbs down

10 Secant: A line that intersects the circle at exactly TWO points

11 a LINE that intersects the circle exactly ONE time
Tangent Line: a LINE that intersects the circle exactly ONE time Forms a 90°angle with a radius Point of Tangency: The point where the tangent intersects the circle

12 Secant Radius Diameter Chord Tangent
Name the term that best describes the notation. Secant Radius Diameter Chord Tangent

13 Concentric Circles

14 Common Tangents Go To Page 8

15 Central Section 6.2 Arcs

16 <APB is a Central Angle
Central Angle : An Angle whose vertex is at the center of the circle A Major Arc Minor Arc More than 180° Less than 180° ACB P AB To name: use 3 letters C To name: use 2 letters B <APB is a Central Angle

17 Semicircle: An Arc that equals 180°
To name: use 3 letters E D EDF P F

18 THINGS TO KNOW AND REMEMBER ALWAYS p. 7
A circle has ___ degrees A semicircle has ___ degrees Vertical Angles are ______ Linear Pairs are __________

19 measure of an arc = measure of central angle
96 Q m AB = 96° B C m ACB = 264° m AE = 84°

20 Arc Addition Postulate
B m ABC = + m BC m AB

21 240 260 m DAB = m BCA = Tell me the measure of the following arcs. D
140 260 m BCA = R 40 100 80 C B

22 CONGRUENT ARCS Congruent Arcs have the same measure and MUST come from the same circle or of congruent circles. C B D 45 45 110 A Arc length is proportional to “r”

23 Classwork P. 8 Worksheet

24 Homework: Practice Worksheet


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