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Trigonometry #3 Radian Measures. Converting Degrees to Radians Angle measure In degrees.

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Presentation on theme: "Trigonometry #3 Radian Measures. Converting Degrees to Radians Angle measure In degrees."— Presentation transcript:

1 Trigonometry #3 Radian Measures

2 Converting Degrees to Radians Angle measure In degrees

3 Converting Degrees to Radians Convert 60° to radians.

4 Convert the following degree measures to radians. a) 45° b) 90° c) 225° d) 315° e) -60° f) 450°

5 Convert the following degree measures to radians. a) 45° b) 90° c) 225° d) 315° e) -60° f) 450°

6 Converting Radians to Degrees

7 Convert the following radian measures to degrees.

8

9 The Unit Circle with Coterminal Angles

10 Convert to Degrees and Minutes a) 2 b) 1.74 c).3417 d) 5.01095

11 Convert to Degrees and Minutes a) 2 b) 1.74 c).3417 d) 5.01095

12 Convert to Radians a) 42°30’ b) 139°10’ c) 64.29° d) 56°25’ e) 47.6925°

13 Convert to Radians a) 42°30’ b) 139°10’ c) 64.29° d) 56°25’ e) 47.6925°

14 TEAMS p. 107 #’s…6,8,14,22,34,40,46

15 Unit Circle, Count by Radians

16 Arc Length

17

18 Find the arc length for a circle with radius 6 and a central angle of 42 degrees.

19 Arc Length Find the arc length for a circle with radius 6 and a central angle of 42 degrees.

20 Arc Length For each of the following, sketch the circle and angle. Then find the arc length.

21 Arc Length For each of the following, sketch the circle and angle. Then find the arc length.

22 Arc Length

23 Assume the radius is 6400

24 Arc Length Assume the radius is 6400

25 Arc Length Assume the radius is 6400

26 TEAMS P113….#’s 4,6,8,10,12,22

27 Area of a Sector

28 Find the area of the sector:

29 Area of a Sector Find the area of the sector:

30 Area of a Sector 1.Find the measure (in radians) of a central angle of a sector of area 16 square inches in a circle of radius 3 inches 2.Find the radius of a circle in which a central angle of π/6 radian determines a sector of area 64 square meters.

31 Area of a Sector 1.Find the measure (in radians) of a central angle of a sector of area 16 square inches in a circle of radius 3 inches 2.Find the radius of a circle in which a central angle of π/6 radian determines a sector of area 64 square meters.

32 Area of a Sector Find the area of the sector shaped field to the left.

33 Area of a Sector Find the area of the sector shaped field to the left.

34 TEAMS P. 116, #’s……40,42,44,46,48

35 Find the exact value

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49 TEAMS p. 125 #’s….16,18,20,22,24,26,28,54,56,58


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