Radians, Arc Length, DMS, Sector Area

What is 11π/6 radians in degrees? 

• 30⁰
• 330⁰
• 360⁰
•  300⁰

Find a coterminal angle to 0 degrees.

• 360⁰
• 180⁰
• 90⁰
• 270⁰

Find the arc length when a circle of radius 5 ft is intersected by an angle of 90⁰? (Remember: convert θ to radians!)

• A) 99.0 ft
• B) 19.6 ft
• C) 756.1 ft
• D) 7.9 ft

Find the arc length. (Remember: convert θ to radians!) Leave your answer in terms of π.

• 7/4π
• 7/2π
• 1/8π
• 45π

What angle is complementary to π/6?

• π/2
• π/3
• π/6
• π/4

In circle O, the radius is 4 in, and the measure of ∠AOB is 120⁰. Find the length of minor arc AB to the nearest integer. (Remember: convert θ to radians!)

• 5 in
• 9 in
• 8 in
• 6 in

What is 2π/3 radians in degrees? 

• 150⁰
• 120⁰
• 180⁰
•  30⁰

Tasha the dog is on a 24-foot leash tied to a tree at point O. The angle between her dog house and her favorite hydrant is 165 degrees. What is the length of the arc from her dog house to the hydrant to the nearest foot? (Remember: convert θ to radians!)

• 40
• 35
• 55
• 69

What is 225⁰ in radians? 

• 7π/4
• 5π/4
• 3π/4
• 5π/3

Alison is jogging on a circular running path, which 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 ∠RUN.

• 0.6 rad
• 0.6⁰
• 1.6 rad
• 1.6⁰