1. Page 752 11) Chords: 𝑹𝑺 , 𝑽𝑾 Secant: 𝑽𝑾 Tangent: line l Diameter: 𝑽𝑾
Radii: 𝑷𝑽 , 𝑷𝑾
12)
Chords: 𝑫𝑬 , 𝑨𝑪
Secant: 𝑫𝑬
Tangent: 𝑪𝑭
Diameter: 𝑨𝑪
Radii: 𝑨𝑩 , 𝑩𝑪
15) km
16) 32
17) 7
18)
Sometimes
19)
Never
20)
21)
Always
22)
Sometimes
23) 𝑨𝑪
24)
𝑨𝑷 , 𝑩𝑷 , 𝑪𝑷 , 𝑫𝑷
25)
26)
138°
27)
45°
31) 8
32) 18
33) 22
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11-2: Arcs and Chords

2. 1/18/2019 1:56 PM
11-2: Arcs and Chords

3. Section 11–2 Geometry PreAP, Revised ©2014 viet.dang@humble.k12.tx.us
Arcs and Chords
Section 11–2
Geometry PreAP, Revised ©2014
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11-2: Arcs and Chords

4. Definitions
Central angle is an angle whose vertex is the center of a circle.
Arc is part of the circle on the outside
Minor arc is an arc whose points are on or in the interior of central angle which measures less than 180°; usually by the letters of two endpoints
Major arc is an arc whose points are on or in the exterior of central angle which measures greater than 180°; usually by the letters of two endpoints and another point on the arc
The total number of degrees in a semicircle is 180°.
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11-2: Arcs and Chords

5. Visuals T R S Name Picture Heading Minor Arc Major Arc central angle
Semi Circle T S R
central
angle K P G R P G R K K T P R G
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11-2: Arcs and Chords

6. Example 1
Use the picture of Circle P and tell whether each arc is a major arc, minor arc, or a semicircle. Then, find the degree measure of each arc. BD is a diameter and CD is an angle bisector.
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11-2: Arcs and Chords

7. Your Turn
Use the picture of Circle P and tell whether each arc is a major arc, minor arc, or a semicircle. Solve. P H A M T
46°
80°
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11-2: Arcs and Chords

8. Example 2
The circle graph shows the type of music sold during one week at a music store. What is the angle measurement of sales involve pop, country, and R&B?
mFMC = 0.30(360)
= 108
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11-2: Arcs and Chords

9. Example 3
The circle graph shows the type of music sold during one week at a music store. Solve for 𝒎 𝑨𝑯𝑩 .
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11-2: Arcs and Chords

10. Your Turn
The circle graph shows the type of food sold. Solve for 𝒎 𝑻𝑹𝑸 .
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11-2: Arcs and Chords

11. Congruent Arcs
Within a circle or congruent circles, congruent arcs are two arcs that have the same measure
Congruent Central Angles have Congruent Chords
Congruent Chords have Congruent Arcs
Congruent Arcs have Congruent Central Angles
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11-2: Arcs and Chords

12. Example 3
In Circle M, 𝑾𝑺 and 𝑹𝑻 are diameters, 𝐦∠𝑾𝑴𝑻=𝟏𝟐𝟓, 𝒎 𝑹𝑲 =𝟏𝟒. Solve for 𝒎 𝑹𝑺 and 𝒎 𝑲𝑺 T W S K M R
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11-2: Arcs and Chords

13. Example 4 C  J, and mGCD  mNJM. Find NM. 14t – 26 = 5t + 1
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11-2: Arcs and Chords

14. Example 5 Solve for NP. SN2 + RS2 = RN2 SN2 + 82 = 172 SN2 = 225
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11-2: Arcs and Chords

15. Your Turn
Solve for LN.
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16. Assignment Page 761 19-29 odd, 31-35 all, 38-39 1/18/2019 1:56 PM
11-2: Arcs and Chords