1. Page 761
19)
136.3°
21)
23)
237.7°
25)
152°
27)
155°
29)
147°
31)
6.6
32)
10.4
33)
False
34)
35)
True
38)
136°
39)
108°
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11-3: Area of a Segment

2. Happy Time
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11-3: Area of a Segment

3. 9/27/2019 3:49 PM
11-3: Area of a Segment

4. Section 11–3 Geometry PreAP, Revised ©2014 viet.dang@humble.k12.tx.us
Area of a Segment
Section 11–3
Geometry PreAP, Revised ©2014
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11-3: Area of a Segment

5. Review Find the area of sector LNM. 9/27/2019 3:49 PM
11-3: Area of a Segment

6. Definitions
A segment of a circle is a region bounded by an arc and its chord.
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11-3: Area of a Segment

7. Example 1
Find the area of segment LNM and round to four decimal places, if necessary
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11-3: Area of a Segment

8. Example 1
Find the area of segment LNM and round to four decimal places, if necessary
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11-3: Area of a Segment

9. Example 1
Find the area of segment LNM and round to four decimal places, if necessary
area of segment = area of sector LNM – area of ∆LNM
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11-3: Area of a Segment

10. Example 2
Find the area of segment LNM and round to four decimal places, if necessary
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11-3: Area of a Segment

11. Your Turn Find the area of the shaded region. 9/27/2019 3:49 PM
11-3: Area of a Segment

12. Section 11-4 Geometry PreAP, Revised ©2014 viet.dang@humble.k12.tx.us
Inscribed Angles
Section 11-4
Geometry PreAP, Revised ©2014
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11-3: Area of a Segment

13. Definitions
An inscribed angle is an angle whose vertex is on a circle and whose sides contain chords of the circle.
An intercepted arc consists of endpoints that lie on the sides of an inscribed angle and all the points of the circle between them.
A chord or arc subtends an angle if its endpoints lie on the sides of the angle.
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11-4: Inscribed Angles

14. Theorem 1
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11-3: Area of a Segment

15. Example 1 Find the measurement of 𝒎∠𝑷𝑹𝑼 9/27/2019 3:49 PM
11-3: Area of a Segment

16. Your Turn Find the measurement of 𝒎 𝑨𝑫𝑪 9/27/2019 3:49 PM
11-3: Area of a Segment

17. Theorem 2
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11-3: Area of a Segment

18. Example 2 Solve for a. mWZY = 90 5a + 20 = 90 5a = 70
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11-3: Area of a Segment

19. Example 3 Find mEDF. 2x + 3 = 75 – 2x 4x = 72 x = 18
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11-3: Area of a Segment

20. Theorem 3
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11-3: Area of a Segment

21. Example 4 mG + mJ = 180 Find the angle measures of GHJK.
3b b + 20 = 180
9b + 45 = 180
9b = 135
b = 15
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11-3: Area of a Segment

22. Example 4 Find the angle measures of GHJK. mG = 3(15) + 25 = 70
mJ = 6(15) + 20 = 110
mK = 10(15) – 69 = 81
mH + mK = 180
mH + 81 = 180
mH = 99
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11-3: Area of a Segment

23. Your Turn Find the angle measures of JKLM. 9/27/2019 3:49 PM
11-3: Area of a Segment

24. Assignment Page 768: 16-18 all Page 776: 12-27 all 9/27/2019 3:49 PM
11-3: Area of a Segment