Radian and Angle Conversion

If an angle is given in Radians as π/3, how do you convert it to degrees?

• 30 degrees

• 60 degrees

• 45 degrees

• 90 degrees

Convert 120 degrees to Radians.

• 2π/3

• 5π/4

• π/3

• 3π/2

If an angle is given in Radians as 5π/4, how do you convert it to degrees?

• 270 degrees

• 225 degrees

• 180 degrees

• 360 degrees

What is the definition of a Radian?

• The definition of a Radian is a unit of angular measurement equal to the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle.

• A Radian is a unit of time measurement

• A Radian is a type of geometric shape

• A Radian is a unit of linear measurement

What is 4π/3 radians in degrees?
 

• 120

• 240

• 210

• 270

If you split a circle into 8 equal parts, how many radians will each section be?

• π/8 radians

• π/45 radians

• π/16 radians

• π/4 radians

If you split a circle into 6 equal parts, how many radians will each section be?

• π/3 radians

• π/6 radians

• π/60 radians

• π/12 radians

Mathematical Equivalence

ON

What is 2π/3 radians in degrees? 

• 150

• 120

• 180

•  30

Match the following radian measure and degree measures.

• 36˚

• 20˚

• 60˚

• 1 radian

• 22.5

• ≈57.3˚