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Section 6.1 angles and their measure

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Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 6.1 Angles and Their Measure
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Page 1: Section 6.1 angles and their measure

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Section 6.1

Angles and Their Measure

Page 2: Section 6.1 angles and their measure

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Page 3: Section 6.1 angles and their measure

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Page 4: Section 6.1 angles and their measure

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Page 5: Section 6.1 angles and their measure

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Page 6: Section 6.1 angles and their measure

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Page 7: Section 6.1 angles and their measure

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Radians

Page 8: Section 6.1 angles and their measure

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Page 9: Section 6.1 angles and their measure

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Page 10: Section 6.1 angles and their measure

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Page 11: Section 6.1 angles and their measure

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Find the length of the arc of a circle of radius 4 meters subtended by a central angle of 0.5 radian.

4 0.5 2 meterss

Page 12: Section 6.1 angles and their measure

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Page 13: Section 6.1 angles and their measure

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Page 14: Section 6.1 angles and their measure

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

(a) 30° (b) 120° (c) – 60° (d) 270° (e) 104 °

0 radian30 radians180

(a) 6

0 radian 20 radians

180 3(b) 12

0 radian0 radians180 3

(c) 6

0 radian 30 radians180 2

(d) 27

0 radian 1.815 radians180

(e) 104

Page 15: Section 6.1 angles and their measure

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

5(a) radian (b) radian (c) radians (d) 5 radians3 2 6

180(a) 603

180(b) 90

2

5 180(c) 1506

180(d) 5 286.48

Page 16: Section 6.1 angles and their measure

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Page 17: Section 6.1 angles and their measure

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Page 18: Section 6.1 angles and their measure

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Page 19: Section 6.1 angles and their measure

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Find the area of the sector of a circle of radius 5 feet formed by an angle of 60°. Round the answer to two decimal places.

In order to use the equation for the area of a sector, must be in radians.

60180 3

21 255 13.09 square feet2 3 6

A


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