Converting Between Degrees and Radians

Convert 3π/2 from radians to degrees.

• 180°

• 270°

• 360°

• 90°

Convert 225° from degrees to radians.

• @@rac{5 ext{π}}{4}@@

• @@rac{3 ext{π}}{2}@@

• @@rac{7 ext{π}}{4}@@

• @@rac{4 ext{π}}{3}@@

Convert the radian angle θ = 4.2 into degrees. Round to the nearest degree.

• 240°

• 241°

• 245°

• 250°

What is the formula to convert degrees to radians?

• radians = degrees × (π/180)

• radians = degrees × (180/π)

• radians = degrees + 180

• radians = degrees - 180

What is the relationship between a full circle in degrees and radians?

• 360° or π radians

• 180° or π radians

• 360° or 2π radians

• 90° or 2π radians

Convert 90° from degrees to radians.

• @@rac{ ext{π}}{2}@@

• @@rac{ ext{π}}{4}@@

• @@rac{ ext{π}}{3}@@

• @@rac{ ext{π}}{6}@@

What is the value of π in degrees?

• 90°

• 180°

• 360°

• 45°

Convert 180° from degrees to radians.

• @@rac{ ext{π}}{2}@@

• @@ ext{π}@@

• @@rac{3 ext{π}}{2}@@

• @@2 ext{π}@@

Convert 360° from degrees to radians.

• @@rac{3 ext{π}}{2}@@

• @@ ext{π}@@

• @@2 ext{π}@@

• @@rac{5 ext{π}}{3}@@

What is the formula to convert radians to degrees?

• degrees = radians × (180/π)

• degrees = radians × (π/180)

• degrees = radians + 180

• degrees = radians - π