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Arcs and Sectors

Arcs and Sectors

Assessment

Presentation

Mathematics

9th Grade

Practice Problem

Medium

CCSS
HSG.C.B.5, 7.G.B.4, HSG.C.A.2

+1

Standards-aligned

Created by

P Carbery

Used 12+ times

FREE Resource

10 Slides • 32 Questions

1

Arcs and Sectors

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2

3

Multiple Choice

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Find the circumference (to the nearest whole number)
1
88 in
2
44 in
3
116 square in
4
None of the above

4

Multiple Choice

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Find the area of the circle below.
1
100 cm²
2
225 cm²
3
9 cm²
4
28.26 cm²

5

Multiple Choice

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What is the circumference of this circle ?
1
3.14 cm 
2
37.68 cm
3
24 cm
4
68.4 cm

6

Multiple Choice

Question image
Find the area of the circle
1
43.96
2
153.86 
3
87.82
4
307.72

7

8

Multiple Select

Which of the following is the formula for the CIRCUMFERENCE of a circle? (Select all that apply)

1

 2πr2\pi r  

2

 πd\pi d  

3

 2πr22\pi r^2  

4

 πr2\pi r^2  

9

Multiple Choice

Question image

Name the pictured part of the circle.

1

Radius

2

Central Angle

3

Sector

4

Center

5

Arc

10

Multiple Choice

Which of the following is the formula for the AREA of a circle?

1

 2πr2\pi r  

2

 πd\pi d  

3

 2πr22\pi r^2  

4

 πr2\pi r^2  

11

Multiple Choice

Question image

Name the pictured part of the circle.

1

Diameter

2

Sector

3

Radius

4

Central Angle

5

Arc

12

Multiple Choice

Question image

Name the pictured part of the circle.

1

Radius

2

Central Angle

3

Sector

4

Center

5

Arc

13

14

Multiple Choice

Question image
what is the area of this semicircle ?
d = 8 cm 
1
100.48 cm2
2
80 cm2
3
200.96 cm2
4
25.12 cm2

15

Multiple Choice

Question image

Find the area of the quarter circle. Round you answer to the nearest hundredth.

1

58.88

2

78.50

3

7.85

4

157.00

16

Multiple Choice

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Mrs. Wilson placed the welcome mat shown below on her front door step. What is the area of her welcome mat in square feet? Leave in terms of π.
1
A = 2π
2
A = 8π
3
A = 10π
4
A = 4π

17

18

Multiple Choice

Question image

What is the area of the shaded region? Round to the nearest hundredth.

1

8π/3

2

2π/3

3

32π/3

4

4π/3

19

20

Multiple Choice

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Find the area of the sector with a radius of 3m and measure of 150 degrees.

1

4248 m2

2

7.9 m2

3

2827.4 m2

4

11.8 m2

21

Multiple Choice

Question image

Find the length of the arc.

1

31.42cm

2

15.71cm

3

282.74cm

4

23.56cm

22

23

Multiple Choice

Question image

Find the area of the sector, rounding your answer to 1d.p.

1

2.1cm2

2

2.0cm2

3

0.5cm2

4

12.6cm2

24

Multiple Choice

Question image

Find the area of the sector, rounding your answer to 1d.p.

1

8.9cm2

2

9.0cm2

3

11.4cm2

4

11.3cm2

25

Multiple Choice

Question image

Find the area of the sector, rounding your answer to 1d.p.


(Next video looks at Arc lengths)

1

15.4m2

2

15.3m2

3

15.5m2

4

15.6cm2

26

27

28

Multiple Choice

Question image

Find the length of the arc to 2dp


(remember arc means we need to find the circumference first!)

1

9.42cm

2

150.80cm

3

4.71cm

4

18.85cm

29

Multiple Choice

Question image

Find the length of the arc to 2dp


(Circumference not Area)

1

1.95cm

2

3.91cm

3

0.98cm

4

2.93cm

30

Multiple Choice

Question image

Find the length of the arc to 2dp

1

25.12cm

2

12.57cm

3

628.32cm

4

31.42cm

31

Multiple Choice

Question image

Find the length of the arc to 2dp

1

31.42cm

2

15.71cm

3

282.74cm

4

23.56cm

32

Multiple Choice

Question image

Calculate the length of the bold arc.

1

49.7 ft

2

15.8 ft

3

24.9 ft

4

3.14 ft

33

34

Multiple Choice

Question image

Find the perimeter of this figure

1

15.7in

2

55.7in

3

30.7in

4

40.7in

35

Multiple Choice

Question image

Find the perimeter of this shape

1


 3π+6 inch3\pi+6\ inch 

2

  9π inch9\pi\ inch 

3

 12 inch12\ inch  

4

 6 inch6\ inch  

36

Multiple Choice

Question image

Find the length of the arc to 2dp

1

5.76cm

2

18.85cm

3

7.33cm

4

11.52cm

37

Multiple Choice

Question image

Find the length of the arc to 2dp

1

21.99mm

2

65.97mm

3

32.99mm

4

11.00mm

38

Multiple Choice

Question image

Find the length of the arc to 2dp

1

246.09cm

2

24.61cm

3

123.05cm

4

240.86cm

39

Multiple Choice

Question image

Find the length of the arc to 2dp

1

32.11cm

2

16.05cm

3

780.84cm

4

32.99cm

40

Multiple Choice

Question image

Find the length of the arc to 2dp

1

49.74cm

2

24.87cm

3

4.97cm

4

24.9cm

41

Multiple Choice

Question image

Find the length of the arc to 2dp

1

1.95cm

2

3.91cm

3

0.98cm

4

2.93cm

42

Multiple Choice

Question image

What is the circumference of this circle with a diameter of 12cm?

1

3.14 cm

2

37.7 cm

3

24 cm

4

68.4 cm

Arcs and Sectors

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