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Unit Eight Review - Circles

Total questions: 17

Worksheet time: 9mins

Name
Class
Date
1.

m∠DAF = _____o

a)

90

b)

140

c)

130

d)

50

2.

If m∠1 = (3x + 2)o and m∠2 = (5x)o , then x = _____.

a)

11

b)

1

c)

22.25

d)

90

3.

x = _____o

a)

46

b)

30

c)

76

d)

38

4.

x = _____o

a)

72.5

b)

127.5

c)

90

d)

`145

5.

x = _____

a)

4

b)

3.75

c)

6.5

d)

3.25

6.

x = _____

a)

9

b)

12

c)

36

d)

4

7.

x = _____

a)

77

b)

26

c)

154

d)

90

8.

Find the center and the radius of a circle whose equation is (x + 9)2 + (y - 5)2 = 64.

a)

Center (9, -5)

Radius 8

b)

Center (9, -5)

Radius 64

c)

Center (-9, 5)

Radius 64

d)

Center (-9, 5)

Radius 8

9.

x = _____

a)

8

b)

7

c)

272327\frac{2}{3}

d)

31

10.

The perimeter of the quadrilateral is _____.

a)

63.5

b)

84.6

c)

85.9

d)

127

11.

m∠J = _____o

a)

99

b)

51

c)

71

d)

81

12.

x = _____

a)

31

b)

12

c)

3

d)

4

13.

Find the circumference and area of the circle, rounded to the nearest tenth. Use the 𝜋 button on the calculator.

a)

Circumference ≈ 75.4 ft

Area ≈ 452.4 ft2

b)

Circumference ≈ 37.7 ft

Area ≈ 452.4 ft2

c)

Circumference ≈ 37.7 ft

Area ≈ 75.4 ft2

d)

Circumference ≈ 75.4 ft

Area ≈ 150.8 ft2

14.

Find the arc length and the area of the sector, rounded to the nearest tenth. Use the 𝜋 button on the calculator.

a)

Arc Length = 135o

Sector Area ≈ 230.9 m2

b)

Arc Length ≈ 33.0 m

Sector Area ≈ 230.9 m2

c)

Arc Length ≈ 16.5 m

Sector Area ≈ 615.8 m2

d)

Arc Length = 135o

Sector Area ≈ 615.8 m2

15.

x = _____o

a)

50

b)

80

c)

40

d)

25

16.

The measure of the larger arc is _____o.

a)

30

b)

≈10.3

c)

≈35.2

d)

76

17.

mArc WXY = _____.

a)

53

b)

106

c)

307

d)

254