Angles and Their Measure

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Presentation transcript:

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

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

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

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 78.562° to the D°M’S” form. Round the answer to the nearest second. Copyright © 2013 Pearson Education, Inc. All rights reserved

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

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

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

Copyright © 2013 Pearson Education, Inc. All rights reserved

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

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

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

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