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1.4 Angle Measure in Degrees and Radians

1.4 Angle Measure in Degrees and Radians - 10° 30 15 210°...

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Agenda 1. Classwork 2. Lesson: 1.4 Angle Measures in Degrees and Radians _______________________________________ Lesson: 1.4 Angle Measures in Degrees and Radians Measure angles and arcs in degrees and radians 1. Change from degree/radians to radians/degrees 2. Goals: DOD Central Angle of a Circle: Angle whose vertex is the center of the circle. Subdivisions of Degrees. Minutes: Seconds: To convert from degrees to minutes, use To convert from minutes to seconds, use To go in the other direction, use the reciprocals of above. ____________________________________ Examples Express in degrees, minutes, seconds Express in decimal degrees (to the nearest hundredth of a degree) 10° 30' 15'' 210° 40' 45''
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Unformatted text preview: 10° 30' 15'' 210° 40' 45'' 1.4 Angle Measure in Degrees and Radians Tuesday, August 24, 2010 10:06 AM Ch_1 Page 1 10° 30' 15'' 210° 40' 45'' ____________________________________ DOD Part2 ±²³´µ¶·²·¸³· ¹ º»² Radian: When the central angle of a circle intercepts an arc that has the same length as the radius of the circle, the measure of this angle is defined as 1 radian (1 rad) ¼ ¹ ½ ¾ *** If θ is a complete counterclockwise revolution, then ½ ¹ ¿À¾Á ½Â 2 π rad = 360° or π rad = 180° To convert from degrees to radians, multiply by » ÃÄÅ To convert from radians to degrees, multiply by ÃÄÅ » ____________________________________ Examples Express in radians. 45° -120° radian Ch_1 Page 2 Express in degrees. ± ² ³ ´± µ¶ Ch_1 Page 3...
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