Name Class Date Practice Form G
Areas of Circles and Sectors
Find the area of each of the following. Leave your answer in terms of P.
A
B
1.} O 49P
2. △AOB 21.2
3.sector AOB
49
P
6
4. the shaded segment
60
7
O
49
P − 21.2
6
S
Find the area of each of the following. Leave your answer in terms of P.
P
1
5.} P 4 P or 4
6. △RPS 1
8
7.sector RPS
8. the shaded segment
P
−1
16
8
1 P or P
16
16
R
P
1
Find the area of each shaded sector of a circle. Leave your answer in terms of P.
9.
4P
10. 11.
9
P
8
36 6
3
P
2
15
P
2
13. 14.
10
45
2
63
P
8
25
P
3
16. 5
45
60
6
6P
12 120
72
15. 45
3
4
12. 18
5 P
P
2
17.
5
2
Find the area of each shaded segment. Round your answer to the nearest tenth.
18. 2.6
19. 2.3
20.
9.8
3
60
5
60
8
21. The table in the figure at the right is 24 in. across. The shaded regions
are made of mahogany. What is the area of the mahogany? Round your
answer to the nearest tenth. 203.6 in.2
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24 in.
Name Class Date Practice (continued)
Form G
Areas of Circles and Sectors
Find the area of sector RST in } S using the given information. Leave your
answer in terms of P.
¬
¬
2
22. r = 3 in., m RT = 30 3
4 P in.
23. r = 8 mm, m RT = 90 16P mm2
¬
¬
169
25. d = 13 m, m TR = 120 12 P m2
24. d = 10 ft, m TR = 180 25
P ft2
2
Find the area of the shaded region. Leave your answer in terms of P and in
simplest radical form.
26. 27. 28.
60 8
120
3
160
P + 16 23
3
7
98
P + 49
4 23
3
27 P + 9
4
2
Find the area of each shaded segment. Round your answer to the nearest tenth.
29. 30. 31.
8 mm
60
10 in.
3.8 in.2
1.4 mm2
12 cm
38.1 cm2
32. Draw a Diagram Draw a circle and a sector so that the area of the sector is
three-tenths of the area of the circle. Give the radius of the circle, the measure
of the arc, and area of the sector.
¬
Check students’ work. Sample: radius = 2; mAC = 108; area of sector 6
5P
¬
¬
33. Reasoning If AC ≅ DF and Area of sector ABC = Area of sector DEF, is
} B ≅ } E ? Explain.
¬ p
mAC
360
# # r 12= m¬
DF # p # r 22
, so r
Answers may vary. Sample: Yes; the two circles are congruent because
1 = r2 .
360
34. In a circle, a 60° sector has area 25p ft2. What is the circumference of the
circle? Leave your answer in terms of p and in simplest radical form.
10 26P ft
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