Free Printable Trig Ratios and Circles Practice Test

1.

Find the value of each trigonometric ratio.

sin Z

a)

29/20

b)

21/20

c)

20/29

d)

29/21

2.

Find the value of each trigonometric ratio.

tan X

a)

13/5

b)

12/13

c)

13/12

d)

5/12

3.

Find the value of each trigonometric ratio.

sin A

a)

15/17

b)

8/15

c)

8/17

d)

15/8

4.

Find the value of each trigonometric ratio.

cos Z

a)

3/4

b)

5/3

c)

4/3

d)

4/5

5.

Find the missing side. Round to the nearest tenth.

a)

4.7

b)

2.6

c)

4.0

d)

48.8

6.

Find the missing side. Round to the nearest tenth.

a)

10.9

b)

12.2

c)

17.9

d)

12.0

7.

Find the missing side. Round to the nearest tenth.

a)

7.6

b)

44.1

c)

5.5

d)

30.6

8.

Find the missing side. Round to the nearest tenth.

a)

17.2

b)

14.8

c)

22.0

d)

13.2

9.

Find the measure of the indicated angle to the nearest degree.

a)

34°

b)

56°

c)

87°

d)

61°

10.

Find the measure of the indicated angle to the nearest degree.

a)

60°

b)

81°

c)

30°

d)

35°

11.

Find the measure of the indicated angle to the nearest degree.

a)

41°

b)

29°

c)

49°

d)

61°

12.

Find the measure of the indicated angle to the nearest degree.

a)

54°

b)

36°

c)

46°

d)

50°

13.

Find the circumference of each circle. Use your calculator's value of π. Round your answer to the nearest tenth.

a)

A) 37.7 cm

b)

B) 226.2 cm

c)

C) 42.7 cm

d)

D) 18.9 cm

14.

Find the circumference of each circle. Use your calculator's value of π. Round your answer to the nearest tenth.

radius = 4 yd

a)

31.4 yd

b)

25.1 yd

c)

27 yd

d)

12.6 yd

15.

Find the circumference of each circle. Use your calculator's value of π. Round your answer to the nearest tenth. diameter = 17.6 km

a)

60.3 km

b)

27.7 km

c)

55.9 km

d)

55.3 km

16.

Find the circumference of each circle. Use your calculator's value of π. Round your answer to the nearest tenth.

a)

A) 58.4 mi

b)

B) 59.6 mi

c)

C) 56.5 mi

d)

D) 62.8 mi

17.

Find the area of each. Use your calculator's value of π. Round your answer to the nearest tenth.

radius = 8 ft

a)

25.1 ft²

b)

201.1 ft²

c)

227 ft²

d)

232.4 ft²

18.

Find the area of each. Use your calculator's value of π. Round your answer to the nearest tenth.

a)

A) 78.5 m²

b)

B) 105.6 m²

c)

C) 84.9 m²

d)

D) 95 m²

19.

Find the area of each. Use your calculator's value of π. Round your answer to the nearest tenth.

a)

A) 18.1 cm²

b)

B) 50.5 cm²

c)

C) 12.6 cm²

d)

D) 50.4 cm²

20.

Find the area of each. Use your calculator's value of π. Round your answer to the nearest tenth.

diameter = 24 mi

a)

37.7 mi²

b)

506.7 mi²

c)

113.1 mi²

d)

452.4 mi²

21.

Identify the center and radius of each.

(x – 3)² + (y + 2)² = 49

a)

Center: (3, –2) Radius: 49

b)

Center: (1, 1) Radius: 7

c)

Center: (3, –2) Radius: 7

d)

Center: (2, –3) Radius: 7

22.

Identify the center and radius of each.

(x – 9)² + (y – 13)² = 9

a)

Center: (9, 13) Radius: 9

b)

Center: (9, 13) Radius: 1

c)

Center: (–13, 11) Radius: 3

d)

Center: (9, 13) Radius: 3

23.

$(x - 15)^2 + y^2 = 16$

a)

Center: (0, -15) Radius: 4

b)

Center: (15, 0) Radius: 4

c)

Center: (15, 0) Radius: 2

d)

Center: (15, 0) Radius: 16

24.

$x^2 + y^2 = 7$

a)

Center: (-2, 1) Radius: 7

b)

Center: (-2, 1) Radius: √7

c)

Center: (0, 0) Radius: √7

d)

Center: (0, 0) Radius: 7

25.

Identify the center and radius. Then sketch the graph.

$x^2 + y^2 = 16$

a)

A) [Graph] Center: (0, 0) Radius: 4

b)

B) [Graph] Center: (2, -2) Radius: 4

c)

C) [Graph] Center: (-1, -1) Radius: 4

d)

D) [Graph] Center: (0, 0) Radius: 1

26.

Identify the center and radius. Then sketch the graph.

$\left(x-4\right)^2+\left(y+4\right)^2=1$

a)

A) [Graph] Center: (4, -4) Radius: 1

b)

B) [Graph] Center: (-4, -4) Radius: 1

c)

C) [Graph] Center: (-4, -4) Radius: 2

d)

D) [Graph] Center: (-4, 4) Radius: 2

27.

$(x + 1)^2 + (y + 4)^2 = 1$ Which graph correctly represents the given equation of the circle?

a)

Center: (-1, -4), Radius: 2

b)

Center: (4, -1), Radius: 1

c)

Center: (-4, 1), Radius: 1

d)

Center: (-1, -4), Radius: 1

28.

Use the information provided to write the equation of each circle.

Center: (–4, 1) Radius: 10

a)

$(x + 4)^2 + (y – 1)^2 = 10000$

b)

$(x – 1)^2 + (y – 4)^2 = 100$

c)

$(x + 4)^2 + (y – 1)^2 = 100$

d)

$(x – 4)^2 + (y – 1)^2 = 100$

29.

Use the information provided to write the equation of each circle.

Center: (13, -16)

Radius: 2

a)

$(x + 11)^2 + (y + 17)^2 = 4$

b)

$(x + 16)^2 + (y + 13)^2 = 4$

c)

$(x – 13)^2 + (y + 16)^2 = 16$

d)

$(x – 13)^2 + (y + 16)^2 = 4$

30.

Use the information provided to write the equation of each circle.

Center: (11, 4)

Radius: 5

a)

$(x – 12)^2 + (y + 5)^2 = 25$

b)

$(x – 11)^2 + (y – 4)^2 = 25$

c)

$(x – 11)^2 + (y + 3)^2 = 25$

d)

$(x – 4)^2 + (y + 11)^2 = 25$

31.

Use the information provided to write the equation of each circle.

Center: (13, -13)

Radius: 1

a)

$(x – 13)^2 + (y + 13)^2 = 9$

b)

$(x – 13)^2 + (y + 13)^2 = 1$

c)

$(x + 13)^2 + (y + 13)^2 = 1$

d)

$(x + 13)^2 + (y – 13)^2 = 4$

32.

Use the information provided to write the equation of each circle.

a)

$(x – 2)^2 + (y – 2)^2 = 4$

b)

$(x – 2)^2 + (y + 2)^2 = 4$

c)

$(x – 2)^2 + (y + 2)^2 = 16$

d)

$(x – 2)^2 + (y – 2)^2 = 16$

33.

Use the information provided to write the equation of each circle.

a)

$(x + 2)^2 + (y – 1)^2 = 81$

b)

$(x + 2)^2 + (y – 1)^2 = 9$

c)

$(x + 1)^2 + (y + 4)^2 = 9$

d)

$(x – 2)^2 + (y – 1)^2 = 9$

34.

Which equation represents the circle shown in the graph?

a)

$(x + 4)^2 + (y + 3)^2 = 9$

b)

$(x + 4)^2 + (y + 3)^2 = 1$

c)

$(x + 4)^2 + (y + 3)^2 = 4$

d)

$(x - 3)^2 + (y - 4)^2 = 4$

35.

Which equation represents the circle shown in the graph?

a)

$(x - 2)^2 + (y - 4)^2 = 4$

b)

$(x + 5)^2 + (y - 3)^2 = 4$

c)

$(x - 5)^2 + (y + 1)^2 = 4$

d)

$(x - 2)^2 + (y - 4)^2 = 16$

36.

Select the graph that represents the equation:

$\left(x+1\right)^2+y^2=36$

a)

b)

c)

d)

Trig Ratios and Circles Practice Test

Total questions: 36

Worksheet time: 3hrs 0mins

Similar Resources on Wayground