Trigonometry 3 Radian Measures Converting Degrees to Radians

















































- Slides: 49
Trigonometry #3 Radian Measures
Converting Degrees to Radians Angle measure In degrees
Converting Degrees to Radians l Convert 60° to radians.
Convert the following degree measures to radians. a) 45° b) 90° c) 225° d) 315° e) -60° f) 450°
Convert the following degree measures to radians. a) 45° b) 90° c) 225° d) 315° e) -60° f) 450°
Converting Radians to Degrees
Convert the following radian measures to degrees.
Convert the following radian measures to degrees.
The Unit Circle with Coterminal Angles
Convert to Degrees and Minutes a) 2 b) 1. 74 c) . 3417 d) 5. 01095
Convert to Degrees and Minutes a) 2 b) 1. 74 c) . 3417 d) 5. 01095
Convert to Radians a) 42° 30’ b) 139° 10’ c) 64. 29° d) 56° 25’ e) 47. 6925°
Convert to Radians a) 42° 30’ b) 139° 10’ c) 64. 29° d) 56° 25’ e) 47. 6925°
TEAMS p. 107 #’s… 6, 8, 14, 22, 34, 40, 46
Unit Circle, Count by Radians
Arc Length
Arc Length
Arc Length l Find the arc length for a circle with radius 6 and a central angle of 42 degrees.
Arc Length l Find the arc length for a circle with radius 6 and a central angle of 42 degrees.
Arc Length For each of the following, sketch the circle and angle. Then find the arc length.
Arc Length For each of the following, sketch the circle and angle. Then find the arc length.
Arc Length
Arc Length Assume the radius is 6400
Arc Length Assume the radius is 6400
Arc Length Assume the radius is 6400
TEAMS P 113…. #’s 4, 6, 8, 10, 12, 22
Area of a Sector
Area of a Sector Find the area of the sector:
Area of a Sector Find the area of the sector:
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.
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.
Area of a Sector Find the area of the sector shaped field to the left.
Area of a Sector Find the area of the sector shaped field to the left.
TEAMS P. 116, #’s…… 40, 42, 44, 46, 48
Find the exact value
Find the exact value
Find the exact value
Find the exact value
Find the exact value
Find the exact value
Find the exact value
Find the exact value
Find the exact value
Find the exact value
Find the exact value
Find the exact value
Find the exact value
Find the exact value
TEAMS p. 125 #’s…. 16, 18, 20, 22, 24, 26, 28, 54, 56, 58