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TLF ID L7848

Use radians to measure angles. Identify key angles in their radian form, for example π/6=30°. Convert angles in degrees (up to 360) to angles in radians. Solve measurement problems using angles in radians. Determine arc lengths using radians. This learning object is one in a series of seven objects. Three objects in the series are also packaged as a combined learning object.

#### Educational details

Key learning objectives
• Students identify that a radian is the angle at the centre of any circle when the arc length equals the radius of the circle.
• Students convert angles in degrees to radians.
• Students identify selected angles in radians and their equivalents in degrees.
• Students solve problems by measuring angles using radians as an alternative to degrees.
Educational value
• Demonstrates that radians are used as an alternative to degrees when measuring angles.
• Demonstrates how angle measurements in radians correspond to their equivalents in degrees.
• Provides examples of problems where formulas are used to convert radians to degrees, and degrees to radians.
• Emphasises radian and degree equivalents for the special angles when solving problems in trigonometry.
Year level

11; 12

Learning area
• mathematics
Strand
• Mathematics/Algebra
Student activity
• Interactives;
• Experiment;
• Analysis;
• Modelling;
• Data manipulation and interpretation

#### Other details

Contributors
• Script writer
• Name: Erica Dale
• Organisation: Tungaroo Software
• Address: Manly NSW 2095 Australia
• Subject matter expert
• Name: Ron Barassi
• Address: Melbourne VIC 3000 Australia
• Educational validator
• Name: Paul White
• Address: Strathfield NSW 2135 Australia
• Technical implementer
• Publisher
• Date of contribution: 20 Sep 2013
• Organisation: Education Services Australia
• Address: Melbourne VIC 3000 Australia
• URL: http://www.esa.edu.au/
Access profile
• Colour independence
• Hearing independence
Learning resource type
• Interactive Resource
Browsers
• Microsoft Internet Explorer - minimum version: 8.0 (MS-Windows) - maximum version: 9.0 (MS-Windows)
• Firefox - minimum version: (MS-Windows)
• Safari - minimum version: 5.1 (MacOS)
Operating systems
• MacOS - minimum version: 10.6
• MS-Windows - minimum version: XP - maximum version: 7
Rights
• © Education Services Australia Ltd, 2013, except where indicated under Acknowledgements.