Exam 3: Radian Measure

θ is a central angle that cuts off an arc of length s . Find the radius of the circle if θ = 10, s = 4 ft. If the answer needs rounding, round it to three significant digits. r = __________ ft

(Short Answer)

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Question 41

Find the area of the sector formed by central angle θ = 10° in a circle of radius r = 4 m. If the answer needs rounding, round it to three significant digits. A = __________ m²

(Short Answer)

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Question 42

Use the unit circle to find the six trigonometric functions of .

(Multiple Choice)

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Question 43

Find the angular velocity associated with the given rpm. Round to the nearest tenth. 9.3 rpm

(Multiple Choice)

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Question 44

Find the angular velocity associated with the given rpm. Round to the nearest radian per minute.

(Multiple Choice)

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Question 45

Use the unit circle to find all values of θ between 0 and 2 π for which .

(Essay)

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Question 46

Find θ , if and and θ in QI

(Multiple Choice)

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Question 47

A point is moving with uniform circular motion on a circular path of radius r . Find ω if cm and cm/sec. Round to the nearest tenth if necessary.

(Multiple Choice)

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Question 48

Use a calculator to find θ to the nearest tenth of a degree, if and with θ in QII

(Multiple Choice)

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Question 49

Use the unit circle to find all values of θ between 0 and 2 π for which .

(Essay)

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Question 50

A cable railway had a 14-foot-diameter pulley to drive the cable (see the figure). In order to keep the cable cars moving at a linear velocity of 13 miles per hour, how fast would the pulley need to turn (in revolutions per minute)? (1 mi = 5,280 ft) If the answer needs rounding, round it to the nearest tenth. __________ rpm

(Short Answer)

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Question 51

The figure below is a model of the Ferris wheel. The diameter of the wheel is 189 feet, and one complete revolution takes 14 minutes. Find the linear velocity of a person riding on the wheel. Give your answer in miles per hour and round to the nearest hundredth. __________ mph

(Short Answer)

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Question 52

Through how many radians does the minute hand of a clock turn during a 6-minute period?

(Essay)

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Question 53

Find θ , if and with θ in QI __________°

(Short Answer)

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Question 54

Use a calculator to find Please round the answer to the nearest ten-thousandth.

(Short Answer)

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Question 55

Find the area of the sector formed by central angle in a circle of radius m.

(Multiple Choice)

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Question 56

Find the exact value of sin 300º.

(Multiple Choice)

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Question 57

Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Trace the circle to find the sine and cosine of the angle to the nearest ten-thousandth. 225°

(Multiple Choice)

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Question 58

Point P moves with angular velocity ω on a circle of radius r . Find the distance s traveled by the point in time t . If the answer needs rounding, round it to three significant digits. __________ ft

(Short Answer)

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(74)

Question 59

If the distance to the sun is approximately 93 million miles, and, from the earth, the sun subtends an angle of approximately 0.5°, estimate the diameter of the sun to the nearest 10,000 miles.

(Multiple Choice)

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Question 60

Showing 41 - 60 of 157

θ is a central angle that cuts off an arc of length s . Find the radius of the circle if θ = 10, s = 4 ft. If the answer needs rounding, round it to three significant digits. r = __________ ft

Find the area of the sector formed by central angle θ = 10° in a circle of radius r = 4 m. If the answer needs rounding, round it to three significant digits. A = __________ m²

Use the unit circle to find the six trigonometric functions of .

Find the angular velocity associated with the given rpm. Round to the nearest tenth. 9.3 rpm

Find the angular velocity associated with the given rpm. Round to the nearest radian per minute.

Use the unit circle to find all values of θ between 0 and 2 π for which .

Find θ , if and and θ in QI

A point is moving with uniform circular motion on a circular path of radius r . Find ω if cm and cm/sec. Round to the nearest tenth if necessary.

Use a calculator to find θ to the nearest tenth of a degree, if and with θ in QII

Use the unit circle to find all values of θ between 0 and 2 π for which .

The figure below is a model of the Ferris wheel. The diameter of the wheel is 189 feet, and one complete revolution takes 14 minutes. Find the linear velocity of a person riding on the wheel. Give your answer in miles per hour and round to the nearest hundredth. __________ mph

Through how many radians does the minute hand of a clock turn during a 6-minute period?

Find θ , if and with θ in QI __________°

Use a calculator to find Please round the answer to the nearest ten-thousandth.

Find the area of the sector formed by central angle in a circle of radius m.

Find the exact value of sin 300º.

Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Trace the circle to find the sine and cosine of the angle to the nearest ten-thousandth. 225°

Point P moves with angular velocity ω on a circle of radius r . Find the distance s traveled by the point in time t . If the answer needs rounding, round it to three significant digits. __________ ft

If the distance to the sun is approximately 93 million miles, and, from the earth, the sun subtends an angle of approximately 0.5°, estimate the diameter of the sun to the nearest 10,000 miles.

The Six Trigonometric Functions

Right Triangle Trigonometry

Graphing and Inverse Functions

Identities and Formulas

Equations

Triangles

Complex Numbers and Polar Coordinates

Filters

Exam 3: Radian Measure

θ is a central angle that cuts off an arc of length s . Find the radius of the circle if θ = 10, s = 4 ft. If the answer needs rounding, round it to three significant digits. r = __________ ft

Find the area of the sector formed by central angle θ = 10° in a circle of radius r = 4 m. If the answer needs rounding, round it to three significant digits. A = __________ m2

Use the unit circle to find the six trigonometric functions of . ​

Find the angular velocity associated with the given rpm. Round to the nearest tenth. 9.3 rpm ​

Find the angular velocity associated with the given rpm. Round to the nearest radian per minute. ​

Use the unit circle to find all values of θ between 0 and 2 π for which .

Find θ , if and ​ and θ in QI ​

A point is moving with uniform circular motion on a circular path of radius r . Find ω if cm and cm/sec. Round to the nearest tenth if necessary. ​

Use a calculator to find θ to the nearest tenth of a degree, if and ​ with θ in QII ​

Use the unit circle to find all values of θ between 0 and 2 π for which .

The figure below is a model of the Ferris wheel. The diameter of the wheel is 189 feet, and one complete revolution takes 14 minutes. Find the linear velocity of a person riding on the wheel. Give your answer in miles per hour and round to the nearest hundredth. ​ __________ mph

Through how many radians does the minute hand of a clock turn during a 6-minute period?

Find θ , if and ​ with θ in QI ​ __________°

Use a calculator to find Please round the answer to the nearest ten-thousandth.

Find the area of the sector formed by central angle in a circle of radius m. ​

Find the exact value of sin 300º. ​

Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Trace the circle to find the sine and cosine of the angle to the nearest ten-thousandth. 225° ​

Point P moves with angular velocity ω on a circle of radius r . Find the distance s traveled by the point in time t . ​ If the answer needs rounding, round it to three significant digits. __________ ft

If the distance to the sun is approximately 93 million miles, and, from the earth, the sun subtends an angle of approximately 0.5°, estimate the diameter of the sun to the nearest 10,000 miles. ​

The Six Trigonometric Functions

Right Triangle Trigonometry

Graphing and Inverse Functions

Identities and Formulas

Equations

Triangles

Complex Numbers and Polar Coordinates

Filters

Find the area of the sector formed by central angle θ = 10° in a circle of radius r = 4 m. If the answer needs rounding, round it to three significant digits. A = __________ m²

Use the unit circle to find the six trigonometric functions of .

Find the angular velocity associated with the given rpm. Round to the nearest tenth. 9.3 rpm

Find the angular velocity associated with the given rpm. Round to the nearest radian per minute.

Find θ , if and and θ in QI

A point is moving with uniform circular motion on a circular path of radius r . Find ω if cm and cm/sec. Round to the nearest tenth if necessary.

Use a calculator to find θ to the nearest tenth of a degree, if and with θ in QII

The figure below is a model of the Ferris wheel. The diameter of the wheel is 189 feet, and one complete revolution takes 14 minutes. Find the linear velocity of a person riding on the wheel. Give your answer in miles per hour and round to the nearest hundredth. __________ mph

Find θ , if and with θ in QI __________°

Find the area of the sector formed by central angle in a circle of radius m.

Find the exact value of sin 300º.

Graph the unit circle using parametric equations with your calculator set to degree mode. Use a scale of 5. Trace the circle to find the sine and cosine of the angle to the nearest ten-thousandth. 225°

Point P moves with angular velocity ω on a circle of radius r . Find the distance s traveled by the point in time t . If the answer needs rounding, round it to three significant digits. __________ ft

If the distance to the sun is approximately 93 million miles, and, from the earth, the sun subtends an angle of approximately 0.5°, estimate the diameter of the sun to the nearest 10,000 miles.