4.1RadianAndDegreeMeasure

4.1RadianAndDegreeMeasure - Wednesday, August 17, 2011 4:31...

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Agenda: 1. Warmup 2. Lesson: 4.1 Radian and Degree Measure __________________________________ Warmup (When you finish, work with your neighbor to see if you have similar answers. I will be randomly asking for student responses.) 1. What is the formula for the circumference of a circle? ±² ² ² 2. Find the circumference of the following circles. Leave your answer in terms of π . radius = 3 radius = 2.5 __________________________________ Lesson: 4.1 Radian and Degree Measure Goals: Determine the quadrant an angle lies in and convert angle measures between radians and degrees. DOD (that means Definition of the Day) Angles in Standard Position: Radian: One radian is the measure of the central angle θ that intercepts an arc s equal in length to the radius r of the circle. 4.1 Radian and Degree Measure
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Unformatted text preview: Wednesday, August 17, 2011 4:31 PM Ch_1 Page 1 in length to the radius r of the circle. (Items in green are talking points. I do not expect you to write it down.) So 1 revolution is ___________ radians? So ± of a revolution is __________ radians? So ² of a revolution is __________ radians? So ³ of a revolution is __________ radians? So ´µ¶· ¸ ¹º rad _______________________________ Examples Sketch the angle in standard position and list the quadrant it lies in. Determine two coterminal angles (one positive and one negative). And convert to another angle measure (either radians or degrees). » ¼ º Your Turn (always in purple) ± ½ º Ch_1 Page 2 ± ² Your Turn (always in purple) ³ ´ ² µ¶ · ¸µ · Ch_1 Page 3...
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This note was uploaded on 11/19/2011 for the course MATH 180 taught by Professor Byrns during the Spring '11 term at Montgomery College.

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4.1RadianAndDegreeMeasure - Wednesday, August 17, 2011 4:31...

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