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- 1. Multiple ChoiceHow many radians does a circle have?360 degrees2 π radiansπ radians2 radians
- 2. Multiple ChoiceConvert 150⁰ to radians5π/63π/47π/62π/3
- 3. Multiple ChoiceConvert 40⁰ to radians2π/93π/87π/62π/3
- 4. Multiple ChoiceWhat is 45 degrees in radians?π/2π/6π/43π/4
- 5. Multiple ChoiceConvert π/3 radians to degrees60⁰30⁰90⁰45⁰
- 6. Multiple ChoiceWhat is 5π/6 radians in degrees?180150360120
- 7. Multiple ChoiceWhat is 4π/3 radians in degrees?
120240210270 - 8. Multiple ChoiceWhat is 4π/3 radians in degrees?
120240210270 - 9. Multiple Choice
Which of the following is closest to the measure of the angle shown?7/10 π3/8 π7/20 π3/2 π - 10. Multiple ChoiceWhich of the following is closest to the measure of the angle drawn by the green curve?5/6 π5/3 π4/5 π4/3 π
- 11. Multiple ChoiceIn circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Find the length of minor arc AB to the nearest tenth.5.49.48.46.4
- 12. Multiple ChoiceTasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and the hydrant is 165 degrees. What is the length of the arc from her dog house to the hydrant, arc DG, to the nearest foot.40355569
- 13. Multiple ChoiceFind the arc length. Round to the nearest tenth.ABCD
- 14. Multiple ChoiceA cathedral window is shown. If the window is to contain three stained glass sections of equal size, what is the area of each stained glass section? Express answer to the nearest square foot.1 sq. ft13 sq. ft3 sq. ft26 sq. ft
- 15. Multiple ChoiceIf Pacman's mouth, when open, is 70° and the radius of his mouth is 8mm, what is the area of the rest of Pacman's body?161.97mm2What's Pacman?39.1mm2
- 16. Multiple ChoiceWhat is this formula used to find?area of sector when the angle is in radiansarea of the circle when the angle is in degreesarc length of a sector when the angle is in radiansarc length of a sector when the angle is in degrees
- 17. Multiple ChoiceWhen do we use the formula
S = r ⋅ θto find the arc length when the angle is given in radiansto find the arc length when the angle is given in degreesto find the area of a sector when the angle is given in radiansto find the area of a sector when the angle is given in degrees - 18. Multiple ChoiceA circular track that has radius of 70 meters. If the angle from the starting line to your current position is π/3 radians, how far did you go?73.3 m83.3 m63.3 m93.3 m
- 19. Multiple ChoiceFind the arc length AB4.28.433.519.7
- 20. Multiple ChoiceFind the area of the sector41.9 sq m4.2 sq m83.8 sq m8.4 sq m
- 21. Multiple ChoiceFind the area of the sector
round the nearest tenth402.3 cm220.5 cm241.1 cm2202.3 cm2 - 22. Multiple ChoiceFind the area of the piece of pizza if the blue central angle is 2π/5 radians and the diameter of the pizza is 18 in50.9 sq in69.6 sq in35.3 sq in41.8 sq in
- 23. Multiple ChoiceFind the radius of a central angle if the arc length is 35 in and the angle is 7 radians5 in42 in28 in15.7 in
- 24. Multiple ChoiceFind the measure of a central angle in radians if the arc length is 50 meters and the radius is 10 meters5 meters10 meters40 meters30 meters
- 25. Multiple ChoiceWhat is angle in radians, if the arc length is 27 ft and the radius is 27 feet?1 radian1 π radian
π
π27 radians27 π radians - 26. Multiple ChoiceWhat is the best approximation for this angle?π/42π/33π/45π/3
- 27. Multiple ChoiceWhat is the best approximation of this angle?8π/911π/913π/914π/9
- 28. Multiple ChoiceA car is moving at a rate of 50 mph, and the diameter of each wheel is 2.5 feet. Find the angular velocity of the wheels in radians per minute.40 radians per minute3520 radians per minute40 radians per hour1760 radians per minute
- 29. Multiple ChoiceA truck is moving at a rate of 50 mph, and the diameter of each wheel is 3 feet. Find the angular speed of the wheels in radians per minute.approx. 2,933.3 radians/ minute40 radians per minuteapprox. 2,933.3 ft/ minute4400 ft/min
- 30. Multiple ChoiceA large pulley is used to pull up cargo. The pulley has a radius of 1.5 ft. Find the distance the cargo is lifted if the pulley rotates through an angle of 315°.approx 8.3 inapprox. 8.3 ft7π/4472.5 ft
- 31. Multiple ChoiceTwo pulleys are connected by a belt. The pulleys have a diameter of 10 ft and 7 ft respectively. The larger pulley rotates 3 times per second. Find the angular velocity of the smaller pulley in radians per hour.6π radians/ sec30π ft/ secapprox. 26.9 radians/hourapprox. 96,940.6 radians/hour
- 32. Multiple ChoiceA wheel is rotating at 4 radians per second, and the wheel has a 57 inch diameter. To the nearest foot per minute, what is the speed of a point on the rim?114 ft/ min114 in / sec570 ft/ min570 radians / min
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