11–8A – Define Radian Measure

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Presentation transcript:

11–8A – Define Radian Measure Worksheet Key 1) 1/2 2) –1/2 3) –1 4) √2/2 5) 6) –√3/2 7) –√3/3 8) 1 9) 10) Undefined 11) 12) 11/10/2018 6:58 AM 11–8A – Define Radian Measure

11–8A – Define Radian Measure Section 11–8A 11/10/2018 6:58 AM 11–8A – Define Radian Measure

11–8A – Define Radian Measure Degree measure is a unit of application such as surveying and navigation Radian measure is a unit of measure for theoretical work in mathematics. Before angles, they measured in Radian Measure One radian is the measure of an angle in standard position whose terminal side intercepts an arc of length, r. 11/10/2018 6:58 AM 11–8A – Define Radian Measure

11–8A – Define Radian Measure Conversion Equations To convert degrees to radians, multiply π/180° To convert radians to degrees, multiply 180°/π 180° = π Radian 1° = π/180 Radian 11/10/2018 6:58 AM 11–8A – Define Radian Measure

11–8A – Define Radian Measure Question Remember the equation of a Circumference of a Circle? 11/10/2018 6:58 AM 11–8A – Define Radian Measure

11–8A – Define Radian Measure Example 1 Convert 360° into radian measure 11/10/2018 6:58 AM 11–8A – Define Radian Measure

11–8A – Define Radian Measure Example 2 Convert 240° into radian measure 11/10/2018 6:58 AM 11–8A – Define Radian Measure

11–8A – Define Radian Measure Example 3 Convert –90° into radian measure 11/10/2018 6:58 AM 11–8A – Define Radian Measure

11–8A – Define Radian Measure Your Turn Convert 2° into radian measure 11/10/2018 6:58 AM 11–8A – Define Radian Measure

11–8A – Define Radian Measure Example 4 Convert 2 into degree measure 11/10/2018 6:58 AM 11–8A – Define Radian Measure

11–8A – Define Radian Measure Example 5 Convert 9π/2 into degree measure 11/10/2018 6:58 AM 11–8A – Define Radian Measure

11–8A – Define Radian Measure Example 6 Convert π into degree measure 11/10/2018 6:58 AM 11–8A – Define Radian Measure

11–8A – Define Radian Measure Your Turn Convert 5π/4 into degree measure 11/10/2018 6:58 AM 11–8A – Define Radian Measure

11–8A – Define Radian Measure Assignment Worksheet 11/10/2018 6:58 AM 11–8A – Define Radian Measure