Free Printable Polygons and Circles Test Review

1.

A line from the center of a regular polygon at right angles to any of its sides.

a)

apothem

b)

radius

c)

permimeter

d)

area

2.

Find the area.

a)

97.25 u²

b)

19.125 u²

c)

37.5 u²

d)

95.625 u²

3.

What is the area?

a)

173.832 u²

b)

21.729 u²

c)

43.458 u²

d)

347.664 u²

4.

Find the area.

a)

534.6 u²

b)

59.4 u²

c)

267.3 u²

d)

29.7 u²

5.

Which of the following is a formula you could use to find area of a hexagon?

a)

$\pi r^2$

b)

$\frac{bh}{2}$

c)

# sides x Length x Apothem ÷ 2

d)

Length x Height

6.

What shape am I ?

a)

Regular pentagon

b)

Irregular Pentagon

7.

What shape am I ?

a)

Regular octagon

b)

Irregular octagon

8.

7. 8. Jada is setting out a serving plate for dinner. The plate is shaped like a regular pentagon. Each side of the pentagon is 6.25 inches. Find the area of the plate. Round to the nearest hundredth.

(a) in.²

9.

A regular polygon with 8 straight sides is called

a)

Pentagon

b)

Hexagon

c)

Octagon

d)

Quadrilateral

10.

What is the measure of ONE interior angle in a regular pentagon (5-sides)?

a)

90°

b)

108°

c)

120°

d)

180°

11.

The measures of one interior angle of a regular polygon is 140^o. What is the name of the polygon?

a)

Decagon

b)

Nonagon

c)

Heptagon

d)

Hexagon

12.

A regular polygon has an INTERIOR angle with a measure of 60. How many sides does it have?

a)

6

b)

120

c)

3

d)

60

13.

What is the area of a regular octagon having an apothem of 13.3 meters and a side length of 11 meters?

a)

585.2 m²

b)

1170.4 m²

c)

292.6 m²

d)

2340.8 m²

14.

If a regular hexagon has a side length of 8 inches, what is its perimeter?

a)

64 inches

b)

36 inches

c)

24 inches

d)

48 inches

15.

What is the area of this circle?

a)

82.13

b)

78.5

c)

314.16

d)

170.12

16.

what is the area of the circle ?
r=5ft d=10ft

a)

78.5ft

b)

25ft

c)

78.5cm

d)

10ft

17.

Find the area of the shaded region.

a)

13.5

b)

54

c)

67.5

d)

13.5

18.

Find the area of the circle

a)

56.52

b)

254.34

c)

1017.36

d)

113.04

19.

what is the area of this semicircle ?
d = 8 cm

a)

100.48 cm²

b)

80 cm²

c)

200.96 cm²

d)

25.12 cm²

20.

Fins the area of this quarter circle with a radius of 6 cm.

a)

56.52 cm

b)

113.04 cm

c)

28.26 cm

d)

37.68 cm

21.

Find the circumference of the circle.

a)

14.13 cm

b)

63.56 cm

c)

28.26 cm

d)

127.17 cm

22.

The circumference of a circular pond is 386.22 yds. What is the DIAMETER of the pond?

a)

123 yds

b)

61.5 yds

c)

1,212.73 yds

d)

98.5 yds

23.

Mrs. Wilson placed the welcome mat shown below on her front door step. What is the perimeter of her welcome mat in square feet?

a)

23.91 in.

b)

20.56 in.

c)

19.4 in.

d)

30.82 in.

24.

Jonathan has an octagon dog pen at home that is 16 feet long when stretched out from end to end. When he shapes it back into an octagon, what is the length of one side?

a)

2 feet

b)

4 feet

c)

2.7 feet

d)

2.3 feet

25.

A square measuring 9 cm per side has the same perimeter as an equilateral triangle. What is the measure of each side of the triangle?

a)

12 metres

b)

Prince Harry

c)

6.75 cm

d)

12 cm

26.

Madi often practices riding her horse in a large wooden pen in the shape of an octagon. One side of the pen is 20 feet. If Madi takes her horse around the perimeter of the pen 6 times, how far will the horse have travelled?

(a)

27.

Which of the following names a radius?

a)

segment AC

b)

segment DB

c)

segment AB

d)

segement BC

28.

Which of the following names a diameter?

a)

segment AC

b)

segment DB

c)

segment AB

d)

segment BC

29.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

30.

What is the formula for circumference of a circle given the diameter?

a)

C = π r

b)

C = 2 π r

c)

C = π d

d)

C = 2 π d

31.

What is the formula for finding the area of a circle?

a)

A = π·d

b)

C = 2·π·r

c)

A = π·r²

d)

C = π·d

32.

The diameter of a circle is 3 centimeters. What is the circumference?

a)

11.5cm

b)

9.42 cm

c)

unicorns are awsome

d)

45.3 cm

33.

Steven purchases a bowl. The diameter of the
bowl is 14 cm. What is the circumference of the
bowl?

a)

28 cm

b)

43.98 cm

c)

87.96 cm

d)

7 cm

34.

Find the area of the composite figure.

a)

100

b)

400

c)

137.5

d)

175

35.

Solve.

a)

78.5 cm²

b)

100 cm²

c)

21.5 cm²

d)

121.5 cm²

36.

The diagram below shows the dimensions of Mrs. Patterson’s new swimming pool. A cover is needed for the pool, what will be the approximate area of the cover?

a)

720

b)

139.08

c)

580.92

d)

238.5

37.

A circular sinkhole has a radius of 13 meters. A week later, it has a diameter of 104 meters. How much greater is the circumference of the sinkhole compared to the previous week?

a)

612.3 m

b)

285.74 m

c)

244.92 m

d)

256.02 m

38.

The West Lighthouse lights up how much more area than the East Lighthouse?

a)

$about\ 236.36\ mi^2$

b)

$about\ 10,572.38\ mi^2$

c)

$about\ 10,573.49\ mi^2$

d)

$about\ 2,643.095\ mi^2$

39.

The stained glass window is a semicircle. What is the distance around the window?

a)

40.82 inches

b)

66.82 inches

c)

81.64 inches

d)

107.64 inches

40.

What is the area of the composite figure? (use 3.14 for pi)

a)

14 cm²

b)

6.28 cm²

c)

12.56 cm²

d)

20.28 cm²

41.

Find the area of the following shape.

a)

296.96 m²

b)

248.96 m²

c)

98.24 m²

d)

73.12 m²

42.

Justin’s bicycle has 24-inch diameter wheels. Justin pedals his bicycle enough for the wheels to complete exactly 40 revolutions. To the nearest whole number, how far does Justin travel?

a)

2,880 in

b)

75 in

c)

5,024 in

d)

3,016 in

43.

A lawn sprinkler sprays water 5 ft in every direction as it rotates. What is the area of the sprinkled lawn?

a)

$78.5\ ft^2$

b)

$39.25\ ft^2$

c)

$15.7\ ft^2$

d)

$80.1\ ft^2$

44.

Find the ARC LENGTH of the darkened part of the circle. Round to the nearest whole number. Don't include units.

(a)

45.

Find the length of the bold arc. Round to the nearest whole number. Do not enter units.

a)

61ft

b)

20ft

c)

398ft

d)

133ft

46.

Find the area of the shaded sector. Round to the nearest whole number. Don't include units.

(a)

47.

Find the area of the shaded sector. Round answer to the nearest whole number. Do not include units.

a)

50

b)

225

c)

30

d)

7

48.

You stop for lunch at a local pizza shop where each pizza is cut into 8 slices. Would your hunger be better satisfied with one slice from a 16 inch diameter pizza or two slices from a 10 inch diameter pizza.

a)

One Slice

b)

Two Slices

49.

If you are going to paint the entire center circle of a basketball court, do you need to know the area or circumference of the circle?

a)

Area

b)

Circumference

c)

Neither

50.

Ricky is drawing a circle with an area of $100\ in^2$ . What is the radius of Ricky's circle? Round to the nearest tenth.

a)

$r\ =\ 314\ in$

b)

$r\ =\ 56\ in$

c)

$r\ =\ 5.6\ in$

d)

$r\ =\ 31.8\ in$

51.

Find the arc length of AB. Round to the nearest tenth.

a)

l = 144.4 cm

b)

l = 122 cm

c)

l = 44.9 cm

d)

l = 516.8 cm

52.

In the diagram, PQ is an arc with centre O. Given arc PQ = 5.5 cm and OP = 7 cm,
find the value of x. Use the $\pi$ button on your calculator.

a)

45

b)

60

c)

40

d)

55

53.

A circle has an area of 124 $cm^2$ . Find the the diameter of the circle.
Use the π button on your calculator.

a)

6.28 cm

b)

12.56 cm

c)

7.73

d)

15.56

54.

Diagram shows sector OPQ of a circle. Given the area of the sector is $105\ cm^2$ , find the length of OP.

Use the π button on your calculator.

a)

16.88 $cm^2$

b)

15.72 $cm^2$

c)

17.64 $cm^2$

d)

16.92 $cm^2$

55.

Diagram shows two semicircles with diameter PQ

and OQ respectively. O is the centre of the semicircle having

diameter PQ. Given the perimeter of the shaded region is 82 cm, find the length of OP.

mc

a)

28.70 cm

b)

12.70 cm

c)

14.35

d)

13.56 cm

56.

The diagram shows a quadrant POQ centred at O. ORST is a square. Given the radius of the quadrant is 21cm, calculate the area, in $cm^2$ , of the shaded region.
[Use the π button on your calculator.]

a)

346.41

b)

121.41

c)

32.99

d)

74.99

57.

What is the area between the circles and inside the square?

a)

12.6 units²

b)

8 units²

c)

51.4 units²

d)

13.7 units²

58.

A central angle measures 4 radians and has an arc length of 28 inches. What is the diameter of the circle?

a)

14 inches

b)

7 inches

c)

49 inches

d)

6 inches

59.

Find the area of a sector with an arc length of 30 cm and a radius of 8 cm.

a)

240 cm²

b)

80 cm²

c)

120 cm²

d)

180 cm²

60.

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.

a)

9.2 sq. in.

b)

10.5 sq. in.

c)

31.4 sq. in.

d)

38.2 sq. in.

Polygons and Circles Test Review

Total questions: 60

Worksheet time: 5hrs 32mins

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