Problem of the Day
Estimate the Measure of the Angle
Problem of the Day
What quadrant does the terminal side of the angle lie
in?
1. ­175
2. 800
3. ­600
Problem of the Day
Convert the degree measure to radian measure
1. 40
2. ­ 90
Convert the radian measure to degree measure
3.
Estimate the Measure of the Angle
6­1 Angles and Their Measures
Angles in the Coordinate Plane
Initial Side
Terminal Side
More About Angles in the Coordinate Plane
Quadrants
Radians
Quadrants
6­1 Angles and Their Measures
What quadrant does the terminal side lie in 250o?
6­1 Angles and Their Measures
What quadrant does the terminal side lie in ­195o?
6­1 Angles and Their Measures
What quadrant does the terminal side lie in 580o?
6­1 Angles and Their Measures
What quadrant does the terminal side lie in?
6­1 Angles and Their Measures
What quadrant does the terminal side lie in?
Radian Measure
= s/r
placed at the vertex of a circle(in radians)
s = arc length
r = length of the radius of circle
What is 1 radian?
Find the radian measure of a central angle opposite an arc of 36 feet in a circle with radius 12 feet meters.
Find the radian measure of a central angle opposite an arc of 48 inches in a circle with radius 22 inches.
Find the radian measure of a central angle for the entire circumference of a circle with radius 1.
Computing radian measure
Table 1(pg 418)
Radians
Degrees 30 45
180
360
Converting to Radians
30
135
­240
91
Converting to Degrees
Coterminal Angles
130
Coterminal Angles
­100
Coterminal Angles:1 positive and 1 negative
320
Coterminal Angles
Find 2 Coterminal Angles(1 positive and 1 negative)
Are the angles coterminal?
60 and 450
90 and ­270
and
Converting to Radians
225
­60
Find the radian measure of a central angle opposite an arc of 24 meters in a circle with radius 6 meters.
A belt connects a pulley of 2 in radius with a pulley of 5 in. If the larger pulley turns through 10 radians, how many radians will the smaller pulley turn?
Readings and examples: pages 414­421
Homework: pgs 421­422: 1­8, 17­19, 22, 23, 48­61, 67­76