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Angles and Their Measure

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Presentation on theme: "Angles and Their Measure"— Presentation transcript:

1 Angles and Their Measure
Section 6.1 Angles and Their Measure Copyright © 2013 Pearson Education, Inc. All rights reserved

2 Find the length of an arc of a circle
Objectives Convert between decimals and degrees, minutes, seconds measures for angles. Find the length of an arc of a circle Convert from degrees to radians and from radians to degrees. Find the area of a sector of a circle. Find the linear speed of an object traveling in circular motion. Copyright © 2013 Pearson Education, Inc. All rights reserved

3 Copyright © 2013 Pearson Education, Inc. All rights reserved

4 Copyright © 2013 Pearson Education, Inc. All rights reserved

5 Copyright © 2013 Pearson Education, Inc. All rights reserved

6 Copyright © 2013 Pearson Education, Inc. All rights reserved

7 Copyright © 2013 Pearson Education, Inc. All rights reserved

8 Convert 40°12’5” to a decimal in degrees
Convert 40°12’5” to a decimal in degrees. Round the answer to four decimal places. Convert ° to the D°M’S” form. Round the answer to the nearest second. Copyright © 2013 Pearson Education, Inc. All rights reserved

9 Radians Copyright © 2013 Pearson Education, Inc. All rights reserved

10 Copyright © 2013 Pearson Education, Inc. All rights reserved

11 Copyright © 2013 Pearson Education, Inc. All rights reserved

12 Find the length of the arc of a circle of radius 4 meters subtended by a central angle of 0.5 radian. Copyright © 2013 Pearson Education, Inc. All rights reserved

13 Copyright © 2013 Pearson Education, Inc. All rights reserved

14 (a) 30° (b) 120° (c) – 60° (d) 270° (e) 104 °
Copyright © 2013 Pearson Education, Inc. All rights reserved

15 Copyright © 2013 Pearson Education, Inc. All rights reserved

16 Copyright © 2013 Pearson Education, Inc. All rights reserved

17 Copyright © 2013 Pearson Education, Inc. All rights reserved

18 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. Copyright © 2013 Pearson Education, Inc. All rights reserved

19 Homework 6.1 #11, 23, 29, 35, 43, 47, 49, 61, 69, 71, 77, 79, 89, 95 Copyright © 2013 Pearson Education, Inc. All rights reserved

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