Trig Coterminal Angles, Arc Length and Angles on a Clock

Circle A has a radius of 8 cm. The measure of central angle CAB is 2.5 radians. What is the length of the intercepted arc CB?

• 20 cm

• 16.5 cm

• 8.5 cm

• 3.2 cm

Circle B has a radius of 1 unit and central angle  $\theta=1$  radian.  What is the length of the intercepted arc?

• 1

• 2

• 0

•  $\pi$  

Circle C has a diameter of 5 units and central angle  $\theta=\frac{\pi}{6}$  radians.  What is the length of the intercepted arc?

•  $\frac{5\pi}{12}$  

•  $\frac{5\pi}{6}$  

•  $\frac{5\pi}{3}$  

•  $\frac{\pi}{30}$  

Jacob jogs on a circular track that has a radius of 142 feet. He runs from point T to U, which is 320 feet. To the nearest tenth of a radian, find the measure of arc TU.

• 2.3 radians

• 0.4 radians

• 2.2 radians

• 4.5 radians

Find an angle coterminal with an angle which measures 11π ∕ 3.

• 17 π / 3
• 4π ∕ 3
• π ∕ 3
• 8π ∕ 3

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

Find an angle coterminal with an angle measuring 17π / 4 radians.

• π ∕ 3
• 5π ∕ 4
• π ∕ 4
• 13π ∕ 4

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

Find a coterminal angle to 45°.

• 360°

• 405°

• 315°

• 295°

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

Find a coterminal angle to -90°.

• -450°

• 90°

• 180°

• -180°

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

What are the negative and positive coterminal angles of -225°?

• 375°, -600°

• 125°, -356°

• 135°, -585°

• 60°, -120°

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

To find an angle that is coterminal to a given angle, add or subtract _______________ and the given angle.

• $\pi$

• $\frac{\pi}{2}$

• $3\pi$

• $2\pi$

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

CCSS.HSG.C.B.5