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Converting between Degrees and Radians: Radian: the measure of an angle that, when drawn as a central angle of a circle, would intercept an arc whose.

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Presentation on theme: "Converting between Degrees and Radians: Radian: the measure of an angle that, when drawn as a central angle of a circle, would intercept an arc whose."— Presentation transcript:

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2 Converting between Degrees and Radians: Radian: the measure of an angle that, when drawn as a central angle of a circle, would intercept an arc whose length is equal to the length of a radius of the circle. Lets determine how many degrees are in 1 radian… How many degrees are there once around a circle? 360

3 It may be necessary to convert from radian measure to degree measure. Radians to degrees: Change each angle from radian measure to degree measure.

4 Page 1

5 Degrees to radians: Change each angle from degree measure to radian measure. We need to simplify this fraction by using the calculator. Page 1

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7 Finding the measure of an arc on a circle.

8 Page 1 21. Find the length of the radius of a circle in which a central angle of 4.5 radians intercepts an arc of 9 meters. Is the central angle in radians?

9 Page 1 21. What is the measure of an angle formed by the hands of a clock at 5:00? a.degrees? b.radians?

10 Page 1 27. Circle O has a radius of 10 inches. What is the length, in inches, of the arc subtended by a central angle measuring 2.5 radians?

11 Page 2

12 Homework Page 1 #2-20 even, 26,28,29,30


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