<p>4-2 Practice Degrees and Radians</p><p>Write each decimal degree measure in DMS form and each DMS measure in decimal degree form to the nearest thousandth.</p><p>1. 28.955 2. –57.3278</p><p>3. 32° 28' 10" 4. –73° 14' 35"</p><p>Write each degree measure in radians as a multiple of π and each radian measure in degrees.</p><p>5. −250° 6. 6° 7. −145°</p><p>8. 870° 9. 18° 10. −820°</p><p>11. 4π 12. 13. −1</p><p>14. 15. −2.56 16. − </p><p>Identify all angles that are coterminal with the given angle. Then find and draw one positive and one negative angle coterminal with the given angle.</p><p>17. 43° 18. − </p><p>Find the length of the intercepted arc with the given central angle measure in a circle of the given radius. Round to the nearest tenth.</p><p>19. 30°, r = 8 yd 20. , r = 10 in.</p><p>Find the rotation in revolutions per minute given the angular speed and the radius given the linear speed and the rate of rotation.</p><p>21. ω = rad/s 22. V = 32 m/s, 100 rev/min</p><p>23. ω = 2.7 rad/s 24. ω = π rad/hr NAME ______DATE______PERIOD ______</p><p>25. ω = π rad/min 26. V = 24.8 m/s, 120 rev/min</p><p>27. V = 118 ft/min , 3.6 rev/s 28. V = 256 in./h, 0.5 rev/min</p><p>29. On a game show, a contestant spins a wheel. The angular speed of the wheel was ω = radians per second. If the wheel maintained this rate, what would be the rotation in revolutions per minute?</p><p>Find the area of each sector. 30. θ = , r = 14 in. 31. θ = , r = 4 m</p><p>32. GARDEN Jayden is planting a circular garden in her backyard that will have a radius of 10 feet, as shown below.</p><p> a. What area does she want to use for tomatoes?</p><p> b. What area does she want to use for wildflowers?</p><p> c. If six ounces of wildflower seeds can cover 10 square feet, how many ounces of seeds does Jayden need to buy in order to plant all of the wildflowers?</p><p>33. CLOCK A clock is divided into 12 sectors each with an angle of radians.</p><p> a. How many hours pass when the hour hand moves 77π radians?</p><p> b. If the clock’s radius is 14 inches, what is the area of the smaller sector formed by the hands at the 5:00 position?</p><p> c. What is the angular speed of the hour hand and minute hand?</p><p>Chapter 10 2 Glencoe Algebra 2</p>