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