Free Printable 4.1 - 4.3 Review

1.

$\sin\theta=$

a)

$\frac{opposite}{hypotenuse}$

b)

$\frac{hypotenuse}{opposite}$

c)

$\frac{adjacent}{hypotenuse}$

d)

$\frac{opposite}{adjacent}$

2.

$\cos\theta=$

a)

$\frac{opposite}{hypotenuse}$

b)

$\frac{hypotenuse}{adjacent}$

c)

$\frac{adjacent}{hypotenuse}$

d)

$\frac{opposite}{adjacent}$

3.

$\tan\theta=$

a)

$\frac{opposite}{hypotenuse}$

b)

$\frac{hypotenuse}{adjacent}$

c)

$\frac{adjacent}{opposite}$

d)

$\frac{opposite}{adjacent}$

4.

Find the length of side W?
sin 68 = 70/w

a)

186.86 m

b)

75.50 m

c)

28.28 m

d)

.01 m

5.

Solve for x. Round to the nearest tenth.

a)

7.5

b)

34.1

c)

14.1

6.

What is the length of side x?

a)

6.57 cm

b)

7 cm

c)

7.44 cm

d)

26.33 cm

7.

Find the measure of the missing angle.

a)

64^o

b)

26^o

c)

61^o

d)

.008^o

8.

Solve for the missing angle

a)

50

b)

0.053

c)

36.9

d)

95

9.

What is 10° in radians?

a)

π/18

b)

2π/5

c)

π/6

d)

π/9

10.

what is 165° in radians?

a)

13π/12

b)

7π/12

c)

19π/12

d)

11π/12

11.

Convert 150⁰ to radians

a)

5π/6

b)

3π/4

c)

7π/6

d)

2π/3

12.

What is 270 degrees in radians?

a)

π/4

b)

3π/2

c)

3π/4

d)

π/2

13.

Convert $\frac{\pi}{3}$ radians to degrees

a)

60⁰

b)

30⁰

c)

90⁰

d)

45⁰

14.

What is 5π/12 in degrees?

a)

105°

b)

75°

c)

165°

d)

195°

15.

What is 17π/12 radians in degrees?

a)

165°

b)

195°

c)

285°

d)

255°

16.

$\frac{8\pi}{3}$ is equivalent to what degree measure?

a)

$480\degree$

b)

$240\degree$

c)

$800\degree$

d)

$24\degree$

17.

Find a coterminal angle to 100 degrees.

a)

820

b)

720

c)

360

d)

390

18.

Which of the following is a negative coterminal angle of 165 degrees?

a)

-165

b)

525

c)

-525

d)

-555

19.

What quadrant is 285 degrees in?

a)

I

b)

II

c)

III

d)

IV

20.

What are co-terminal angles?

a)

angles that share the same terminal side

b)

angles that are supplementary

c)

angles that are complimentary

d)

angles that are opposite each other

21.

a)

$\frac{3}{2}\pi\ in$

b)

$\frac{5}{2}\pi\ in$

c)

$\frac{8}{3}\pi\ in$

d)

$4\pi\ in$

22.

Find the arc length of the bolded arc. Give your answer in terms of π.

a)

(65/12)π cm

b)

17.02 cm

c)

(845/24)π cm

d)

26π cm

23.

Alison is jogging on a circular track that has a radius of 140 feet. She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN. (Use 3.14 for $\pi$ )

a)

47

b)

74

c)

94

d)

123

24.

Find the arc length indicated by the bolded arc.

a)

8.3 in

b)

7.2 in

c)

6.8 in

d)

6.4 in

25.

Find the arc length indicated by the bolded arc.

a)

17.3 km

b)

79.1 km

c)

95.0 km

d)

99.0 km

26.

Find the arc length indicated by the bolded arc.

a)

8.4 mi

b)

9.4 mi

c)

60.2 mi

d)

117.8 mi

27.

Find the area of a sector if the central angle measures 30° radians and the radius of the circle is 11 cm. Simplify.

(a)

28.

Determine the area of the sector, given the radius and the central angle.

(a)

29.

A sprinkler system is set up to water the sector shown in the accompanying diagram, with angle ABC measuring 1 radian and radius AB = 20 feet. What is the length of arc AC, in feet?

a)

63

b)

31

c)

20

d)

10

30.

What is the area of a sector of a circle with a radius of 8 inches and formed by a central angle that measures 60°?

a)

$\frac{8\pi}{3}$

b)

$\frac{16\pi}{3}$

c)

$\frac{32\pi}{3}$

d)

$\frac{64\pi}{3}$

4.1 - 4.3 Review

Total questions: 30

Worksheet time: 1hrs 20mins

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