Quiz about Trig Ratios and Circles Practice Test

Question 1

Find the value of each trigonometric ratio.

sin Z

Accepted Answer

20/29

Answer

29/20

Answer

21/20

Answer

29/21

Question 2

Find the value of each trigonometric ratio.

tan X

Accepted Answer

5/12

Answer

13/5

Answer

12/13

Answer

13/12

Question 3

Find the value of each trigonometric ratio.

sin A

Accepted Answer

8/17

Answer

15/17

Answer

8/15

Answer

15/8

Question 4

Find the value of each trigonometric ratio.

cos Z

Accepted Answer

4/5

Answer

3/4

Answer

5/3

Answer

4/3

Question 5

Find the missing side. Round to the nearest tenth.

Accepted Answer

4.0

Answer

4.7

Answer

2.6

Answer

48.8

Question 6

Find the missing side. Round to the nearest tenth.

Accepted Answer

10.9

Answer

12.2

Answer

17.9

Answer

12.0

Question 7

Find the missing side. Round to the nearest tenth.

Accepted Answer

30.6

Answer

7.6

Answer

44.1

Answer

5.5

Question 8

Find the missing side. Round to the nearest tenth.

Accepted Answer

14.8

Answer

17.2

Answer

22.0

Answer

13.2

Question 9

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

Accepted Answer

Center: (15, 0) Radius: 4

Answer

Center: (0, -15) Radius: 4

Answer

Center: (15, 0) Radius: 2

Answer

Center: (15, 0) Radius: 16

Question 10

Identify the center and radius. Then sketch the graph.

$$x^2 + y^2 = 16$$

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 11

Identify the center and radius. Then sketch the graph.

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 12

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 13

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

Center: (13, -16)

Radius: 2

Accepted Answer

$$(x – 13)^2 + (y + 16)^2 = 4$$

Answer

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

Answer

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

Answer

$$(x – 13)^2 + (y + 16)^2 = 16$$

Question 14

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

Center: (11, 4)

Radius: 5

Accepted Answer

$$(x – 11)^2 + (y – 4)^2 = 25$$

Answer

$$(x – 12)^2 + (y + 5)^2 = 25$$

Answer

$$(x – 11)^2 + (y + 3)^2 = 25$$

Answer

$$(x – 4)^2 + (y + 11)^2 = 25$$

Question 15

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

Center: (13, -13)

Radius: 1

Accepted Answer

$$(x – 13)^2 + (y + 13)^2 = 1$$

Answer

$$(x – 13)^2 + (y + 13)^2 = 9$$

Answer

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

Answer

$$(x + 13)^2 + (y – 13)^2 = 4$$

Question 16

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

Accepted Answer

$$(x – 2)^2 + (y + 2)^2 = 4$$

Answer

$$(x – 2)^2 + (y – 2)^2 = 4$$

Answer

$$(x – 2)^2 + (y + 2)^2 = 16$$

Answer

$$(x – 2)^2 + (y – 2)^2 = 16$$

Question 17

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

Accepted Answer

$$(x + 2)^2 + (y – 1)^2 = 9$$

Answer

$$(x + 2)^2 + (y – 1)^2 = 81$$

Answer

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

Answer

$$(x – 2)^2 + (y – 1)^2 = 9$$

Question 18

Which equation represents the circle shown in the graph?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 19

Which equation represents the circle shown in the graph?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 20

Select the graph that represents the equation:

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

Accepted Answer

Trig Ratios and Circles Practice Test

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