The radian measure of an angle of -112 degrees is

Math Questions

1. The radian measure of an angle of -112 degrees is ____ Give your answer exactly (no decimals).

2. The angle between 0 and 2π in radians that is coterminal with the angle −35π/6 radians is___

3. The angle with measure between 0 and 2π radians that is coterminal with the angle measuring -19 π/5 radians has measure of ___

4. The angle between 0 and 2π in radians that is coterminal with the angle 19 π/4 in radians is____

5. The angle between 0 and 2π in radians that is coterminal with the angle -91 π/10 radians is____

6. Find the length of an arc if the radius of the arc is 7.8 inches and the measure of the arc is 13 π/9 radians _____inches

7. Find the area of the sector of a circle with radius 6 meters formed by a central angle of 1π/2 radians. Give your answer correct to 3 decimal places. _____square meters

8. A hamster runs at a speed of 5 centimeters per second in a wheel of radius 11 centimeters.

a) What is the angular velocity of the wheel? _____ (in radians/sec)

b) How fast will the wheel spin in revolutions per minute? ____rev/min

9. A hamster running in a wheel of radius 11 cm spins the wheel one revolution in 11 seconds.

a) What is the angular velocity of the wheel? _____ (in radians/sec)

b) At what linear velocity is the hamster running? _____ (in cm/sec)

10. A truck with 44-in.-diameter wheels is traveling at 50 mi/h.

a) Find the angular speed of the wheels in rad/min ____

b) How many revolutions per minute do the wheels make? ___

11. A hamster running in a wheel of radius 8 cm spins the wheel at 19 revolutions per minute.

a) What is the angular velocity of the wheel? (in radians/sec) _____

b) At what linear velocity is the hamster running? (in cm/sec) _____

12. Directions: Use the given information to find the desired measurement. Show your work or explain your thinking, and properly label your final answer. A central angle has a measure of 162 degrees and the intercepted arc's sector has an area measure of 84 cm². what is the radius of the circle? Round answers to three decimal places when necessary.