Free Printable T2 Units 4-5: Circles

Worksheets

T2 Units 4-5: Circles

Total questions: 68

Worksheet time: 51mins

Name

Class

Date

If the diameter is 48m, what is the radius?

96m

24m

12m

A circle has a DIAMETER of 20m. What is the circumference of this circle?

31.4m

62.8m

A circle has a RADIUS of 15 cm. What is the CIRCUMFERENCE of this circle?

47.1 cm because you multiply 15 and π

94.2 cm because you multiply 30 and π

A DVD has a diameter of 15 millimeters. Which equation would help you determine the circumference?

c = π15

C = 2π15

c = 15 ÷ π

c = 15 π²

If the radius of a circle is 12.5 metres, the diameter is ____

6.25 m

125 m

25 m

50 m

What is the radius of this circle?

12 cm

6 cm

24 cm

3 cm

The radius is 8 m. What is the circumference?

50.24 m

25.12 m

12.56 m

200.96 m

Ms. Catall uses a compass to find her way out of the woods. The compass has a radius of 4 centimetres. What is the compass's area?

49.2 cm²

45.6 cm²

50.24 cm²

55.9 cm²

A cruise ship has a large, circular window. It has a diameter of 6 meters. What is the window's area?

31.25 m²

29.55 m²

30.36 m²

28.26 m²

10.

The circumference is 62.8 centimetres. What is the radius?

20 cm

10 cm

6.28 cm

31.4 cm

11.

Does this picture show the diameter or radius of a circle?

Diameter

Radius

12.

Does this picture show the diameter or radius of a circle?

Diameter

Radius

13.

What does C represent in the formula:

C = π·d

Circumference

Diameter

Area

14.

What is the diameter of a circle?

the distance around a circle

the area of a circle

halfway through a circle

a line through the centre of a circle

15.

What number represents π?

31.4

4.13

3.14

34.1

16.

Find the circumference of the circle.

31.4 cm

78.5 cm

314 cm

15.7 cm

17.

Find the circumference of the circle.

78.5 cm

15.7 cm

7.85 cm

19.6 cm

18.

Find the circumference of the circle.

38.47 cm

10.99 cm

43.96 cm

21.98 cm

19.

Find the circumference of the circle.

14.13 in

63.56 in

28.26 in

127.17 in

20.

What is the radius of this circle?

18 in

10 in

9 in

8 in

21.

Find the area of the circle

43.96

153.86

87.82

307.72

22.

The courtyard outside East Middle School is rectangular and half-circle. What is the circumference of the courtyard?

328.5 m

407 m

500 m

7,850 m

23.

find the area of the circle below.

100 cm

225 cm

9 cm

28.26 cm

24.

What is the area of a circle with the diameter of 10cm ?

66 cm

78.5 cm

66.5 cm

10 m

25.

Find the area of the circle.

56.52 in

254.34 in

1017.36 in

113.04 in

26.

Find the area of the circle

43.96

153.86

87.82

307.72

27.

What is the formula used in finding the area of a circle?

$\pi r^2$

$\pi d$

$2\pi r$

28.

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

100.48 cm²

80 cm²

200.96 cm²

25.12 cm²

29.

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.

A = 2π

A = 8π

A = 10π

A = 4π

30.

The distance across a circle through its center is called the _____.

diameter

radius

centre

31.

If you are given the diameter, how can you calculate the radius?

Multiply the diameter by 2

Divide the diameter by 2

Add 2 to the diameter

Subtract 2 from the diameter

32.

Which segment is the diameter?

33.

Which segment is a radius?

34.

The definition of radius is

distance from one point to another point

distance around the circle

distance from the centre to any point on the circle

distance across the circle through the centre

35.

what is the formula for finding radius

c = π d

c = 2 π r

d = r/2

r = d/2

36.

find the radius of the circle

3 m

1.5 m

1.5 cm

1.5 mm

37.

What is the distance around a circle?

Circumference

Area

Diameter

Radius

38.

What is the perimeter of this semi circle? (Use 3.14 = π and round to the nearest tenths place)

12.6 cm

20.6 cm

25.1 cm

33.1 cm

39.

Find the length of the arc of the quadrant.

21.98 ft

87.92 ft

615.44 ft

10.99 ft

40.

What is the area of this circle?

163.2 cm

15.3 cm

124.2 cm

113.04 cm

41.

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

100.48 cm²

80 cm²

200.96 cm²

25.12 cm²

42.

What is the formula to find the area of a circle?

A = πd

A = 2πr

A = πr²

A = xyz

43.

What is the area of this semicircle?

100.5 cm squared

25.1 cm squared

50.3 cm squared

12.6 cm squared

44.

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

58.88 cm²

78.50 cm²

7.85 cm²

157 cm²

45.

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

56.52 cm

113.04 cm

28.26 cm

37.68 cm

46.

Find the area of the three-quarter circle. Round your answer to the nearest hundredth.

314 cm²

235.5 cm²

58.88 cm²

47.10 cm²

47.

Find the area of the shape below. Round your answer to the nearest hundredth.

56.52 cm²

28.26 cm²

14.13 cm²

7.07 cm²

48.

Find the perimeter of the quarter circle. Take π = 3.14. Round the answer to 2 decimal places.

32.13 cm

81.59 cm

63.59 cm

14.13 cm

49.

Find the area of the semicircle. Take π = 3.14. Round the answer to 2 decimal places.

200.96 cm²

100.48 cm²

50.24 cm²

25.12 cm²

50.

6. The figure shows 2 circles inside a trapezoid.
Which procedure should be used to find the area of the shaded region?

Subtract the perimeter of the trapezoid from the area of both circles.

Subtract the circumference of both circles from the area of the trapezoid.

Subtract the area of the trapezoid from the area of both circles.

Subtract the area of both circles from the area of the trapezoid.

51.

4. A local restaurant places tissue-paper liners in baskets for yeast rolls like the liner pictured.
About how many square centimeters of tissue paper are needed to make one liner?

200.96 cm²

379.2 cm²

251.2 cm²

253.6 cm²

52.

7. Which of the following is closest to the area of the figure shown?

420 cm²

521 cm²

320 cm²

1,124 cm²

53.

9. What is the approximate area of the figure pictured?

3.53 cm²

7.07 cm²

5.30 cm²

21.20 cm²

54.

What are the basic shapes used to make this composite figure?

Rectangle and quarter circle

Rectangle and semicircle

Square and quarter circle

Square and semicircle

55.

What are the basic shapes used to make this composite figure?

Semicircle and square

Semicircle and right-angled triangle

Quarter circle and square

Quarter circle and isosceles triangle

56.

How do you find the area of the shaded figure?

Area of square - Area of semicircle

Area of quarter circle - Area of semicircle

Area of semicircle - Area of quarter circle

Area of square - Area of semicircle - Area of quarter circle

57.

The figure is made up of a quarter circle and a semicircle. What is the perimeter? (Take $\pi$ = 3.14.)

(a)

58.

The figure shows 4 quarter circles in a square. What is the perimeter of the shaded figure? (Take $\pi$ = 3.14.)

(a)

59.

The figure shows a quarter circle and an equilateral triangle. What is the perimeter of the shaded part? (Take $\pi$ = 3.14.)

(a)

60.

What is the area of 3 identical quarter circles with a diameter of 10cm?

(Take π as 3.14)

Ans: (a) $cm^2$

61.

What is the value of the shaded green area given that the diameter of the circle is 14 cm.

(Take π as $\frac{22}{7}$ ) Ans: (a) $cm^2$

62.

This figure is made by overlapping a semicircle of diameter 10cm on a quarter circle of radius 8cm. What is the perimeter of the unshaded region? (Take π as 3.14) Ans: (a) cm

63.

This figure is made up of 5 identical quarter circles of radius 8cm. What is the perimeter of this figure? (Take π as 3.14) Ans: (a) cm

64.

This figure is made up of a semicircle of radius 12.5cm and a 25cm by 20cm rectangle. What is the perimeter of this figure? (Take π as 3.14)

Ans: (a) cm

65.

This figure is made up of a semicircle and a rectangle. What is the perimeter of this figure? (Take π as 3.14)

Ans: (a) cm

66.

What is the area of this figure? (Take π as 3.14)

Ans: (a) $cm^2$

67.

What is the perimeter of this figure?

(Take π as 3.14)

Ans: (a) cm

68.

Find the perimeter of the quarter circle.

Take pi = 22/7.

58 cm

50 cm

52 cm

22 cm

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T2 Units 4-5: Circles

Total questions: 68

Worksheet time: 51mins

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