4.1: Radian and Degree Measure - Day 2
Goals
Use radian and degree measure.
Sketch angles in standard position.
Find complements and supplements of degree measures.
Convert between decimal degrees and degrees, minutes, seconds.
Find arc length.
Find angular and linear speed.
degree measure
one degree = 1/360o of a
complete rotation about the vertex
one full revolution = 360o
must have degree symbol
radian has no symbol
WHY 360o??
Degrees, minutes, and seconds
degree - ______ of a circle
minute - ______ of a degree (symbol: one tick mark)
second - ______ of a minute (symbol: two tick marks)
or _______ of a degree
Ex: 45o 22' 13''
Chapter 4 Page 1
360 Degrees in a Circle, but a Radian Ain't One
Determine the quadrant in which the angle lies.
237o 30'
-11.2o
-192o 15'
Find two coterminal angles of each angle.
-390o
-300o
230o
Find the complement and supplement of each angle. (if possible)
46o
93o
Convert to decimal degree form.
Chapter 4 Page 2
Six Degrees of Separation
Convert to degrees, minutes, and seconds
Arc Length
Chapter 4 Page 3
Noah's Arc Length
Chapter 4 Page 4
Distance Between Cities
Chapter 4 Page 5
4.1 Day 2 Assignment
p.270 #55-61 odds, 67-93, odds, 99 (19 questions)
Chapter 4 Page 6
4.1 Day 2 KEY #55-61 odds, 67-93, odds, 99
Chapter 4 Page 7