Exploring Angles and Radian Measure in Algebra 2B

What is the primary difference between measuring angles in degrees and radians?

• Degrees are always larger than radians.

• Degrees are used for triangles, while radians are used for the unit circle.

• Radians are used only in chemistry.

• Degrees measure distance, while radians measure angles.

What is the conversion factor between degrees and radians?

• 90 degrees equals 1 Pi

• 180 degrees equals 1 Pi

• 360 degrees equals 1 Pi

• 45 degrees equals 1 Pi

When converting degrees to radians, what do you multiply by?

• 1 Pi over 45 degrees

• 1 Pi over 180 degrees

• 1 Pi over 360 degrees

• 1 Pi over 90 degrees

If you start with 40 degrees, what is the first step in converting it to radians?

• Multiply by 1 Pi over 360 degrees

• Multiply by 1 Pi over 180 degrees

• Multiply by 1 Pi over 45 degrees

• Multiply by 1 Pi over 90 degrees

What is the result of converting 40 degrees to radians?

• 4 Pi over 3

• 2 Pi over 3

• 4 Pi over 9

• 2 Pi over 9

When converting radians to degrees, what do you multiply by?

• 45 over Pi

• 360 over Pi

• 90 over Pi

• 180 over Pi

If you start with 4 Pi over 3 radians, what is the first step in converting it to degrees?

• Multiply by 90 over Pi

• Multiply by 180 over Pi

• Multiply by 360 over Pi

• Multiply by 45 over Pi

What is the result of converting 4 Pi over 3 radians to degrees?

• 360 degrees

• 240 degrees

• 120 degrees

• 180 degrees

What is an alternative method for converting radians to degrees?

• Substitute the value of Pi with 45

• Substitute the value of Pi with 360

• Substitute the value of Pi with 90

• Substitute the value of Pi with 180

What is the shortcut for converting 4 Pi over 3 radians to degrees?

• Multiply 4 by 180 and divide by 3

• Multiply 4 by 360 and divide by 3

• Multiply 4 by 45 and divide by 3

• Multiply 4 by 90 and divide by 3