5.1 Angles and Their Measure<br />Formulas – Arc Length, Area of a Sector, Linear Speed, Angular Speed<br />
Arc Length (s)      <br />s = arc length<br />r = radius<br />Θ = (theta)  central angle (in radians)<br />
Area of a Sector (A)      <br />A = area of the sector<br />r = radius<br />Θ = (theta)  central angle (in radians)<br />
Find the missing information <br />
Find the missing information <br />
Find the missing information <br />
Find the missing information <br />
Find the missing information <br />
Find the missing information <br />
Linear Speed (in circular motion)<br />In distance unit per time unit<br />
Angular Speed<br />In radians per time unit<br />
Consequence of these…<br />
Ferris Wheel<br />A neighborhood carnival has a Ferris wheel whose radius is 30 feet.  You measure the time it takes for o...
Spin Balancing Tires<br />A spin balancer rotates the wheel of a car at 480 revolutions per minute.  If the diameter of th...
Spin Balancing Tires<br />For a diameter of 26 inches, at how many revolutions per minute should the balancer be set to te...
Assignment<br />p. 367 # 71 – 89 odd, 99 -103, 118, 119<br />
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5.1.3 angles and their measure

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  • 5.1.3 angles and their measure

    1. 1. 5.1 Angles and Their Measure<br />Formulas – Arc Length, Area of a Sector, Linear Speed, Angular Speed<br />
    2. 2. Arc Length (s) <br />s = arc length<br />r = radius<br />Θ = (theta) central angle (in radians)<br />
    3. 3. Area of a Sector (A) <br />A = area of the sector<br />r = radius<br />Θ = (theta) central angle (in radians)<br />
    4. 4. Find the missing information <br />
    5. 5. Find the missing information <br />
    6. 6. Find the missing information <br />
    7. 7. Find the missing information <br />
    8. 8. Find the missing information <br />
    9. 9. Find the missing information <br />
    10. 10. Linear Speed (in circular motion)<br />In distance unit per time unit<br />
    11. 11. Angular Speed<br />In radians per time unit<br />
    12. 12. Consequence of these…<br />
    13. 13. Ferris Wheel<br />A neighborhood carnival has a Ferris wheel whose radius is 30 feet. You measure the time it takes for one revolution to be 70 seconds. <br />What is the linear speed (in feet per second) of this Ferris wheel? <br />What is the angular speed in radians per second?<br />
    14. 14. Spin Balancing Tires<br />A spin balancer rotates the wheel of a car at 480 revolutions per minute. If the diameter of the wheel is 26 inches, what road speed is being tested? Express your answer in miles per hour. <br />
    15. 15. Spin Balancing Tires<br />For a diameter of 26 inches, at how many revolutions per minute should the balancer be set to test a road speed of 80 miles per hour?<br />
    16. 16. Assignment<br />p. 367 # 71 – 89 odd, 99 -103, 118, 119<br />

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