Understanding Radians and Degree Measures

What are the two main units used to measure angles?

• Degrees and meters

• Inches and radians

• Degrees and radians

• Radians and meters

How is a radian defined in terms of a circle?

• As the diameter of the circle

• As the angle subtended by an arc equal in length to the radius

• As the length of the radius

• As the area of the circle

What is the equivalent of one full revolution in degrees?

• 270 degrees

• 90 degrees

• 360 degrees

• 180 degrees

How many radians are there in a full circle?

• 4π radians

• 3π radians

• π radians

• 2π radians

What is the conversion factor from degrees to radians?

• 180 degrees = 2π radians

• 360 degrees = π radians

• 180 degrees = π radians

• 90 degrees = π radians

Convert 90 degrees to radians.

• π/4 radians

• 2π radians

• π/2 radians

• π radians

Convert 30 degrees to radians.

• π/6 radians

• π/3 radians

• π radians

• π/2 radians

What is the first step in converting radians to degrees?

• Multiply by 2π

• Multiply by 180/π

• Multiply by π

• Multiply by 360

Convert π/3 radians to degrees.

• 60 degrees

• 45 degrees

• 90 degrees

• 30 degrees

Convert 5π/4 radians to degrees.

• 225 degrees

• 180 degrees

• 135 degrees

• 270 degrees