Deck 7: The Circular Functions and Their Graphs

Question 1

Convert the degree measure to radians. Leave answer as a multiple of

Answer 1

A

Question 2

Convert the degree measure to radians. Leave answer as a multiple of

Answer 2

C

Question 3

Convert the degree measure to radians. Leave answer as a multiple of

Answer 3

C

Question 4

Convert the radian measure to degrees. Round to the nearest hundredth if necessary.

Question 5

Convert the radian measure to degrees. Round to the nearest hundredth if necessary.

Question 6

Convert the degree measure to radians. Leave answer as a multiple of

Question 7

Convert the degree measure to radians. Leave answer as a multiple of

Question 8

Convert the radian measure to degrees. Round to the nearest hundredth if necessary.

Question 9

Convert the radian measure to degrees. Round to the nearest hundredth if necessary.

Question 10

Convert the degree measure to radians. Leave answer as a multiple of

Question 11

Convert the degree measure to radians, correct to four decimal places.

Question 12

Find the corresponding angle measure in radians.

Question 13

Find the corresponding angle measure in radians.

Question 14

Convert the degree measure to radians, correct to four decimal places.

Question 15

Convert the degree measure to radians. Leave answer as a multiple of

Question 16

Convert the radian measure to degrees. Round to the nearest hundredth if necessary.

Question 17

Convert the radian measure to degrees. Round to the nearest hundredth if necessary.

Question 18

Convert the radian measure to degrees. Round to the nearest hundredth if necessary.

Question 19

Convert the radian measure to degrees. Round to the nearest hundredth if necessary.

Question 20

Convert the degree measure to radians. Leave answer as a multiple of

Question 21

Find the length of an arc intercepted by a central angle in a circle of radius r. Round your answer to 1 decimal place.

Question 22

Convert the radian measure to degrees. Give answer using decimal degrees to the nearest hundredth. Us

Question 23

Convert the degree measure to radians, correct to four decimal places.

Question 24

Convert the degree measure to radians, correct to four decimal places.

Question 25

Convert the degree measure to radians, correct to four decimal places.

Question 26

Convert the degree measure to radians, correct to four decimal places.

Question 27

Convert the degree measure to radians, correct to four decimal places.

Question 28

Find the length of an arc intercepted by a central angle in a circle of radius r. Round your answer to 1 decimal place.

Question 29

Convert the radian measure to degrees. Give answer using decimal degrees to the nearest hundredth. Us

Question 30

Convert the radian measure to degrees. Give answer using decimal degrees to the nearest hundredth. Us

Question 31

Assume that the cities lie on the same north-south line and that the radius of the earth is 6400 km.

Question 32

Convert the degree measure to radians, correct to four decimal places.

Question 33

Assume that the cities lie on the same north-south line and that the radius of the earth is 6400 km.

Question 34

Convert the degree measure to radians, correct to four decimal places.

Question 35

Find the length of an arc intercepted by a central angle in a circle of radius r. Round your answer to 1 decimal place.

Question 36

Assume that the cities lie on the same north-south line and that the radius of the earth is 6400 km.

Question 37

Assume that the cities lie on the same north-south line and that the radius of the earth is 6400 km.

Question 38

Assume that the cities lie on the same north-south line and that the radius of the earth is 6400 km.

Question 39

Assume that the cities lie on the same north-south line and that the radius of the earth is 6400 km.

Question 40

Convert the degree measure to radians, correct to four decimal places.

Question 41

Assume that the cities lie on the same north-south line and that the radius of the earth is 6400 km.

Question 42

Assume that the cities lie on the same north-south line and that the radius of the earth is 6400 km.

Question 43

Assume that the cities lie on the same north-south line and that the radius of the earth is 6400 km.

Question 44

Assume that the cities lie on the same north-south line and that the radius of the earth is 6400 km.

Question 45

Assume that the cities lie on the same north-south line and that the radius of the earth is 6400 km.

Question 46

Assume that the cities lie on the same north-south line and that the radius of the earth is 6400 km.

Question 47

Find the area of a sector of a circle having radius r and central angle . If necessary, express the answer to the nearest
tenth.

Question 48

Find the area of a sector of a circle having radius r and central angle . If necessary, express the answer to the nearest
tenth.

Question 49

Assume that the cities lie on the same north-south line and that the radius of the earth is 6400 km.

Question 50

Assume that the cities lie on the same north-south line and that the radius of the earth is 6400 km.

Question 51

Find the area of a sector of a circle having radius r and central angle . If necessary, express the answer to the nearest
tenth.

Question 52

Assume that the cities lie on the same north-south line and that the radius of the earth is 6400 km.

Question 53

Approximate the length using the formula for arc length. Round to the nearest meter.

Question 54

Find the area of a sector of a circle having radius r and central angle . If necessary, express the answer to the nearest
tenth.

Question 55

Assume that the cities lie on the same north-south line and that the radius of the earth is 6400 km.

Question 56

Find the area of a sector of a circle having radius r and central angle . If necessary, express the answer to the nearest
tenth.
Find the radius of a circle in which a central angle of radian determines a sector of area 57 square meters. Round to the nearest hundredth.

A) 7.38 m
B) 108.86 m
C) 14.76 m
D) 10.43 m

Question 57

Assume that the cities lie on the same north-south line and that the radius of the earth is 6400 km.

Question 58

Assume that the cities lie on the same north-south line and that the radius of the earth is 6400 km.

Question 59

Approximate the length using the formula for arc length. Round to the nearest meter.

Question 60

Assume that the cities lie on the same north-south line and that the radius of the earth is 6400 km.

Question 61

Provide an appropriate response.
If the radius of a circle is doubled, how is the length of the arc intercepted by a fixed central
angle changed?

Question 62

Find the area of a sector of a circle having radius r and central angle . If necessary, express the answer to the nearest
tenth.

Question 63

Find the area of a sector of a circle having radius r and central angle . If necessary, express the answer to the nearest
tenth.

Question 64

Find the area of a sector of a circle having radius r and central angle . If necessary, express the answer to the nearest
tenth.

Question 65

Find the exact circular function value.

Question 66

Find the exact circular function value.

Question 67

Find the exact circular function value.

Question 68

Find the exact circular function value.

Question 69

Find the area of a sector of a circle having radius r and central angle . If necessary, express the answer to the nearest
tenth.
Find the measure (in radians) of a central angle of a sector of area 56 square inches in a circle of radius 8 inches. Round to the nearest hundredth.

A) 1.75 radians
B) 0.88 radians
C) 2.63 radians
D) 3.50 radians

Question 70

Provide an appropriate response.
Is it correct to say that the value of ta ? Explain your answer.

Question 71

Provide an appropriate response.
Find the value of the arc length when (the central Angle) is given in degrees instead of
radians.

Question 72

Find the exact circular function value.

Question 73

Provide an appropriate response.

Question 74

Find the area of a sector of a circle having radius r and central angle . If necessary, express the answer to the nearest
tenth.

Question 75

Provide an appropriate response.

Question 76

Find the exact circular function value.

Question 77

Find the area of a sector of a circle having radius r and central angle . If necessary, express the answer to the nearest
tenth.

Question 78

Find the exact circular function value.

Question 79

Provide an appropriate response.
Is it correct to say that the value of c ? Explain your answer.

Question 80

Find the area of a sector of a circle having radius r and central angle . If necessary, express the answer to the nearest
tenth.
A pendulum swings through an angle of 16° each second. If the pendulum is 12 cm in length and 62) the complete swing from right to left lasts 2 seconds, what area is covered by each complete swing?
Round to the nearest hundredth.