wikiHow Converting Radians to Degrees Practice Problems 1. An angle measures 2 radians. What is the measure of this angle in degrees? 2. A Ferris wheel rotates 3π/4 radians in one quarter of a turn. What is the rotation in degrees? 3. A pendulum swings back and forth through an angle of π/6 radians. What is the angle of swing in degrees? 4. A circle has a radius of 5 cm. What is the central angle in degrees of an arc that subtends an arc length of π cm? 5. A cyclist rides 4π/3 radians around a circular track. What is the distance traveled in degrees? 6. An object moves through an angle of 5π/6 radians. What is the angle of motion in degrees? 7. A car turns through an angle of 3π/2 radians. What is the angle of turn in degrees? 8. An airplane banks through an angle of π/3 radians. What is the angle of bank in degrees? 9. A clock hand rotates through an angle of π/2 radians. What is the angle in degrees? 10. A beam of light is refracted through an angle of π/4 radians. What is the angle of refraction in degrees? 11. A ferris wheel rotates through an angle of 7π/6 radians. What is the angle of rotation in degrees? 12. A circular saw blade rotates through an angle of 2π/3 radians. What is the angle of rotation in degrees? 13. A clock's minute hand rotates through an angle of 2π/5 radians. What is the angle in degrees? 14. A golfer hits a ball with a club, making it rotate through an angle of 5π/4 radians. What is the angle of rotation in degrees? 15. An amusement park ride rotates through an angle of π/3 radians. What is the angle of rotation in degrees? 16. A child's swing rotates through an angle of π/2 radians. What is the angle of swing in degrees? 17. A cyclist rides through an angle of 3π/4 radians. What is the angle of rotation in degrees? 18. A skateboarder performs a trick, rotating through an angle of 4π/5 radians. What is the angle of rotation in degrees? 19. A steering wheel turns through an angle of 5π/6 radians. What is the angle of turn in degrees? 20. A crane operator rotates a load through an angle of 7π/4 radians. What is the angle of rotation in degrees? Page