Angles and Trigonometric Functions — Engineering Board Exam Practice Questions

12 free engineering board exam reviewer questions on Angles and Trigonometric Functions (Trigonometry), each with the correct answer and a worked solution.

1. A full circle has 6400 mils. How many mils are in an angle of 0.5 radian?
2. The minute hand of a clock is 8 cm long. How far does its tip travel in 35 minutes? Give the answer in cm.
3. A wheel 40 cm in diameter rotates at 300 rpm. Find the linear speed of a point on its rim in m/s.
4. A circular sector has a radius of 10 m and a central angle of 72°. Find its area in square meters.
5. Find the exact value of 240°.
6. Find the exact value of 150°.
7. Find the reference angle of 215°.
8. In which quadrant does an angle lie if <0 and >0?
9. An arc of a circle of radius 12 cm subtends a central angle of 75°. Find the arc length in cm.
10. A full circle contains 6400 mils. How many mils are in an angle of 45°?
11. Convert 5π/12 radians to degrees.
12. Convert 135° to radians.