Chapter Review
CHAPTER
11-1 11-1 Lines that Intersect Circles Identify each line or segment that intersects each circle. 1.
2.
m N L J
Z
W X
K n
radii: ## KN, # KJ, ## KL tangent: m chords: # JL # secant: JK diameter: # JL
V
Y
radii: ## XV, ## XW tangent: n ## chords: # ZY, WV secant: # YZ diameter: ## WV
3. The summit of Mt. McKinley in Alaska is about 20,321 feet above sea level. What is the distance from the summit to the horizon, to the nearest mile? (Hint: 5280 ft 1 mile, radius of the Earth 4000 miles) 175.54 miles
11-2 Arcs and Chords Find each measurement. X 4. FB 40°
X 5. BEC
F
270°
A
E
B
50° D C
X 6. FG 63°
X 7. FCA
A G
262°
82°
E
B
F 35 C D
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253
Geometry
CHAPTER 11 REVIEW CONTINUED
Find each length to the nearest tenth. 8. AC
9. JK
130°
J
D
16
13.9
L
C
M 8
59 K
11-3 Sector Area and Arc Length Find the shaded area. Round to the nearest tenth, if necessary. 10. As part of a parks beautification committee Kelly is designing a circular flower garden. She plans to divide the flower garden into sectors and plant different colored flowers in each sector. What is the area of each sector to the nearest square foot?
70° 69
22 ft 2 Find each arc length. Give your answer in terms of p and rounded to the nearest hundredth. X 11. CD 3.61p
130° D
X 12. FG 1.16p
C
2.1p
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65° G
0 3.2 cm
59
13. an arc with measure 54° in a circle with diameter 14 in.
F
14. a semicircle in a circle with diameter 112 m 56p
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Geometry
CHAPTER 11 REVIEW CONTINUED
11-4 Inscribed Angles Find each measure. For Problems 15 and 16.
X 16. mCB
15. m ADB
B
60°
120°
60°
C 30°
A
D
X 18. mDC
17. m ABD
For Problems 17 and 18.
40°
B
60°
A E 30°
80° D
C
11-5 Angle Relationships in Circles Find each measure. 19. m LMN
A
20. m AFD L
270°
135°
120°
70°
D M
F
B 20° C
N
21. Find the measure of angle x.
Q
30°
150° P
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E
x° R
255
Geometry
LESSON 11-6 CONTINUED
11-6 Segment Relationships in Circles Find the value of the variable and the length of each chord or secant segment. 22.
23. B
x 4
A
12
20 14
C J
6
x 11
D
x 5 8, BD 5 14, AC 5 16 24. A section of an arched bridge is based on an arc of a circle as shown. BD is the perpendicular bisector of AC . AC 60 ft, and BD 20 ft. What is the diameter of the circle? 65 ft
x 5 32.2, 43.2; 34 B
A
D
C
11-7 Circles in the Coordinate Plane Write the equation of each circle. 25. (B with center A(3, !4) and radius 5 (x 2 3)2 1 (y 1 4)2 5 52
26. (B that passes through (!4, 12) has center B(!12, 6) (x 1 12)2 1 (y 2 6)2 5 102
27. A local technology company is planning the location of a new cell phone tower to help with coverage in three cities. To optimize cell phone coverage, the tower should be equidistant from the three cities which are located on a coordinate plane at A(4, 10), B(6, !4), and C(!10, !4). What are the coordinates where the tower should be built? (22, 2)
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256
Geometry
