PreCalculus Review - Chapter's 5.3 to 5.6

​Chapter 5.3 - Angles in Radians and Degrees

​Chapter 5.3 - Angles in Radians and Degrees

Match

Convert the following angles to radians

• 30°

• 45°

• 120°

• 210°

• 330°

• $$\frac{\pi}{6}rad$$

• $$\frac{\pi}{4}rad$$

• $$\frac{2\pi}{3}rad$$

• $$\frac{7\pi}{6}rad$$

• $$\frac{11\pi}{6}rad$$

Match

Convert the following angles to degrees

• $$\frac{\pi}{2}radians$$

• $$\frac{3\pi}{4}radians$$

• $$\frac{5\pi}{6}radians$$

• $$\frac{7\pi}{3}$$

• $$\frac{11\pi}{6}radians$$

90 degrees

135 degrees

150 degrees

420 degrees

330 degrees

• 90 degrees

• 135 degrees

• 150 degrees

• 420 degrees

• 330 degrees

Multiple Choice

Use the image to answer the question

• The Ferris wheel rotates 180° in 5 minutes.

• The Ferris wheel rotates 300° in 5 minutes.

• The Ferris wheel rotates 120° in 5 minutes.

• The Ferris wheel rotates 240° in 5 minutes.

Multiple Choice

Use the image to answer the question

• $$\frac{5\pi}{2}radians$$

• $$\frac{2\pi}{3}radians$$

• $$\frac{\pi}{4}radians$$

• $$\frac{\pi}{6}radians$$

Multiple Choice

Use the image to answer the question

• The satellite dish rotates $$6\pi$$ radians in 30 seconds.

• The satellite dish rotates $$\frac{2\pi}{3}$$ radians in 30 seconds.

• The satellite dish rotates $$\frac{3\pi}{2}$$ radians in 30 seconds.

• The satellite dish rotates $$\frac{\pi}{2}$$ radians in 30 seconds.

​Chapter 5.4 - Length of an Arc

​Chapter 5.4 - Length of an Arc

Multiple Choice

Use the image to answer the question

• 6.32 cm

• 4.42 cm

• 5.24 cm

• 3.32 cm

Multiple Choice

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• 16.41 cm

• 28.81 cm

• 31.42 cm

• 33.34 cm

Multiple Choice

Use the image to answer the question

• 104.72 meters

• 108.64 cm

• 112.75 cm

• 118.64 cm

Multiple Choice

Use the image to answer the question

• 18.84 meters

• 21.32 meters

• 23.56 meters

• 28.8 metes

Multiple Choice

Use the image to answer the question

• 2.81 meters

• 3.14 meters

• 3.81 meters

• 4.12 meters

Multiple Choice

An arc has a length of 10 cm and a central angle of 2 radians. Find the radius.

• 9 cm

• 7.5 cm

• 5.0 cm

• 2.5 cm

Multiple Choice

A sector of a circle has an arc length of 22 cm and a central angle of radians. Find the radius.

• 12.20 cm

• 14.01 cm

• 18.21 cm

• 19.50 cm

Multiple Choice

A circle has an arc length of 12 cm and a radius of 4 cm. Find the central angle.

• 1 radian

• 3 radians

• 5 radians

• 7 radians

Multiple Choice

An arc measures 18 cm in length, and the radius of the circle is 6 cm. Determine the central angle.

• 1 radian

• 3 radians

• 5 radians

• 7 radians

​Chapter 5.5 - Area of a Sector

​Chapter 5.5 - Area of a Sector

Multiple Choice

Use the image to answer the question

• $$28\ cm^2$$

• $$32\ cm^2$$

• $$36\ cm^2$$

• $$26\ cm^2$$

Multiple Choice

Use the image to answer the question

• $$46.67\ cm^2$$

• $$48.89\ cm^2$$

• $$52.36\ cm^2$$

• $$58.82\ cm^2$$

Multiple Choice

Use the image to answer the question

• $$17.54\ in^2$$

• $$18.84\ in^2$$

• $$22.23\ in^2$$

• $$25.13\ in^2$$

Multiple Choice

Use the image to answer the question

• 7.21 inches

• 7.54 inches

• 7.98 inches

• 8.46 inches

Multiple Choice

Use the image to answer the question

• 57.3°

• 61.2°

• 64.4°

• 68.8°

​Chapter 5.6 - Angular Speed

​Chapter 5.6 - Angular Speed

​Chapter 5.6 - Angular Speed

Multiple Choice

Use the image to answer the question

• 0.303 rad/sec

• 0.524 rad/s

• 0.648 rad/sec

• 0.984 rad/sec

Multiple Choice

Use the image to answer the question

• 7.42 rad/sec

• 8.42 rad/sec

• 9.42 rad/sec

• 10.42 rad/sec

Multiple Choice

Use the image to answer the question

• 0.091 rad/sec

• 0.102 rad/sec

• 0.209 rad/sec

• 0.406 rad/sec

Multiple Choice

Use the image to answer the question

• $$2\pi$$

• $$4\pi$$

• $$6\pi$$

• $$8\pi$$

Multiple Choice

Use the image to answer the question

• 0.834 seconds

• 1.189 seconds

• 0.785 seconds

• 1.123 seconds

​Chapter 5.6 - Angular Speed

Multiple Choice

Use the image to answer the question

• 3.8 m/s

• 3.2 m/s

• 2.4 m/s

• 2.8 m/s

Multiple Choice

Use the image to answer the question

• 0.86 m/s

• 0.94 m/s

• 1.26 m/s

• 1.84 m/s

Poll

I am ready for the assessment

• Yes

• No

• Maybe

• I am lost!