December 13th copyright2009merrydavidson
Help each other on HW ?’s
How can I memorize these?
Numerator one less than denominator
Numerator one more than denominator
Add N & D QII to get this numerator
You have to memorize this quadrant! BUT 60 has 3 in denominator and 30 has 6 in denominator
Angles are labeled with:Greek letters
ORUpper case letters
A, B, C, etc.
, ,
Angles….Put definitions on back of plate.
Acute:Obtuse:Right:Quadrantal:Complementary:
Supplementary:
Between 0o and 90o
Between 90o and 180o
90o
Terminal side on x or y axes
Sum of 2 angles = 90o or pi/2 radians
Sum or 2 angles = 180o or pi radians
1 R = 180o
R
1 o = R 180o
1 radian is approximately 57.3o
Mark 1R, 2R = 115o, 3R = 172o,
4R = 229o, 5R = 286o, and 6R = 344o on your paper plate.
Converting from degree to radian measure
Multiply by:
1) 84___
Converting from degree to radian measure
Multiply by:
2) 200
Converting from radian to degree measure
Multiply by:
3) 6 radians________
Converting from radian to degree measure
Multiply by:
4) 17 radians 6
Arc Length
360 2 (2 )o
central arclengthor circumference r
A circle has a radius of 4 inches. Find the length of the arc intercepted by a central angle of 240o.
Area of a Sector
2
sec360 2 ( )o
central areaof toror areaofcircle r
A sprinkler on a golf course fairway is set to spray water over a distance of 70 feet and rotates through an angle of 120o.
Find the area of the fairway watered by the sprinkler.
Finding complementary and supplementary angles
52o C: S:
125o C: S:
C: S:
C: S:
4R
56R
Homework: WS 6-2
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