Angles
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This document discusses measuring and converting between angles and their measures in degrees, minutes, seconds and radians. It provides examples of: 1) Converting a mixed number angle such as 40°12'5" to decimal degrees. 2) Converting a decimal degree measurement to degrees, minutes, seconds format. 3) Finding the length of an arc of a circle using the measure of a central angle in radians and the radius. 4) Converting between radians and degrees.
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Interested in deploying an integration with Salesforce for Bonterra Impact Management? Contact us at sales@sidekicksolutionsllc.com to discuss next steps.
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The videorecording (in Czech) from the presentation is available here: https://youtu.be/WzjJWm4IyPk?si=SImb06tuXGb30BEH .
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Angles
- 1. Section 7.1 Angles and Their Measure
- 6. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
- 7. .
- 8. (a) Convert 40°12’5” to a decimal in degrees. Round the answer to four decimal places. (b) Convert 78.562° to the D°M’S” form. Round the answer to the nearest second. 1 1 1 (a) 40 + 12 + 5 = 40 + 12 + 5 60 60 60 ′ ′′° ° ° × ° ÷ ÷ 1 1 1 1 and 1 = 60 60 60 ′ ′′= ° × ° ÷ ÷ = 40 + 0.2 + 0.0014° ° ° 40.2014= ° ( ) ( )(b) 78 0.562 78 0.562 60′°+ ° = °+ 78 33.72′= °+ 78 33 0.72′ ′′= °+ + ( ) ( )78 33 0.72 60′ ′′= ° + + 78 33 43.2′ ′′= ° + + 78 33 43′ ′′= °
- 9. . Radians
- 11. .
- 12. .
- 13. . 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 = =
- 14. .
- 15. .
- 16. . (a) 30° (b) 120° (c) – 60° (d) 270° (e) 104 ° 0 radian 30 radians 180 (a) 6 π π = ÷ ° 0 radian 2 0 radians 180 3 (b) 12 π π = ÷ ° 0 radian 0 radians 180 3 (c) 6 π π − = − ÷ ° 0 radian 3 0 radians 180 2 (d) 27 π π = ÷ ° 0 radian 1.815 radians 180 (e) 104 π ≈ ÷ °
- 17. . 5 (a) radian (b) radian (c) radians (d) 5 radians 3 2 6 π π π − 180 (a) 60 3 π π ° = ° ÷ 180 (b) 90 2 π π ° − = − ° ÷ 5 180 (c) 150 6 π π ° = ° ÷ 180 (d) 5 286.48 π ° = ° ÷ Converting from radians to degrees