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Topic 11-2 Radian Measure. Definition of a Radian Radian is the measure of the arc of a unit circle. Unit circle is a circle with a radius of 1.

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Presentation on theme: "Topic 11-2 Radian Measure. Definition of a Radian Radian is the measure of the arc of a unit circle. Unit circle is a circle with a radius of 1."— Presentation transcript:

1 Topic 11-2 Radian Measure

2 Definition of a Radian Radian is the measure of the arc of a unit circle. Unit circle is a circle with a radius of 1.

3 Arc Length In geometry, an arc length is represented by “s” If any of these parts are unknown, use the formula r r s θ Where theta is in radians

4 Arc Length in Radians What is the arc length s to the nearest tenth?

5 Conversions Between Degrees and Radians 1.To convert degrees to radians, multiply degrees by 2. To convert radians to degrees, multiply radians by

6 Ex 5. Convert the degrees to radian measure. a) 60  b) 30  c)-54  d)-118  e) 45 

7 Ex 6. Convert the radians to degrees. a) b) c) d)


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