trigonometry #3
DESCRIPTION
Trigonometry #3. Radian Measures. Converting Degrees to Radians. Angle measure In degrees. Converting Degrees to Radians. Convert 60° to radians. Convert the following degree measures to radians. 45° 90° 225° 315° -60° 450°. Convert the following degree measures to radians. 45° 90° - PowerPoint PPT PresentationTRANSCRIPT
Trigonometry #3Radian Measures
Converting Degrees to Radians
Angle measureIn degrees
Converting Degrees to Radians
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°
TEAMSp. 107 #’s…6,8,14,22,34,40,46
Unit Circle, Count by Radians
Arc Length
Arc Length
Arc Length
Find the arc length for a circle with radius 6 and a central angle of 42 degrees.
Arc Length
Find the arc length for a circle with radius 6 and a central angle of 42 degrees.
Arc LengthFor each of the following, sketch the circle and angle. Then find the arc length.
Arc LengthFor 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
TEAMSP113….#’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.
TEAMSP. 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