Converting Between Radians/Degrees
Arc Length
Unit Circle
Exemplary
General Trivia
100

Convert 45o to radians

pi/4

100

Find the arc length for an arc with an angle of 45o and a radius of 5 inches

3.93 inches

100
A point on the unit circle has the coordinates (1/2, 1/2). What is the angle of that point in radians?

pi/4

100

Which quadrant satisfies that sin < 0 and cos > 0?

Quadrant 4

100
Who won the Super Bowl this year?
Kansas City Chiefs
200

Convert 150o to radians

5pi/6

200

Find the arc length of an arc with angle pi/2 and a radius of 4 meters

6.28 meters

200

What is cos(315)

sqrt(2)/2

200

Which quadrant satisfies that sin > 0 and cos < 0?

Quadrant 2

200

What is the name of the original Jeopardy Host?

Alex Trebek

300

Convert 7pi/6 to degrees

210o

300

Find the arc length for an arc with angle 7pi/4 and a radius of 2 cm

11 cm

300
What is sin (2pi/3)

sqrt(3)/2

300

Identify the quadrants where tan < 0

Quadrant 2 and quadrant 4

300

PSI is a unit that measures what?

Air pressure

400

Convert 5pi/3 to degrees

300o

400

Find the arc length of 83o on the unit circle.

1.45 units

400

Suppose we know the y coordinate on the unit circle is 1/2. Which two angles satisfy this? Give your answer in degrees.

30o and 150o

400

Identify all quadrants where tan > 0

Quadrant 1 and quadrant 3

400

Name 3 actors that have played the Joker

Joaquin Phoenix, Jack Nicholson, Jared Leto, Heath Ledger, Mark Hamill

500

Convert 285o to radians

19pi/12

500

Calculate the distance from the North Pole to the Equator of the Earth. The Earth has a radius of 3,959 miles.

989.75 miles

500

What is tan(300o)

-sqrt(3)/3

500

Which quadrant satisfies that sin < 0 and tan < 0

Quadrant 4

500

Who was Obi Wan Kenobi's Jedi Master?

Qui-Gon Jinn

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