4.1--Angles and Their Measures
Convert to degrees, minutes, and seconds (DMS):
1)
47.15
o
2)
129.62
o
Convert from DMS to decimal form:
3)
o
151 52' 24"
~What exactly is a radian ????
4)
21o 16' 30"
4.1--Angles and Their Measures
5)
Convert from degrees to radians:
36
o
150
240
o
o
75.4
o
o
128 42'
6)
Convert from radians to degrees:
π
9
5π
12
11π
30
3
4.7
4.1--Angles and Their Measures
7)
8)
Find the perimeter of the shaded region to the
nearest 1/10th of an inch:
A circular pool is encircled by a
concrete path. The circumference
of the outer edge of the path is
33.3 feet longer than that of the
inner edge. How wide is the path?
(Round to the nearest 1/10th of a foot.)
w
4.1--Angles and Their Measures
9)
Find the angle in degrees that
describes each compass bearing:
N
SW
ENE
SSE
10)
11)
Which compass direction
is closest to 250 ?
E
W
S
NOTE: Compass bearings
are measured differently
than the unit circle is !
The wheels on a car are 32" in diameter. If these
wheels are turning at 700 revolutions per minute,
find the car's speed:
4.1--Angles and Their Measures
12)
The chain of the bicycle wraps around circles of radius 8"
and 3" as shown in the diagram. The angular speed of the
smaller wheel is 90 RPM.
a)
Convert the angular speed of the
smaller wheel to radians per second.
3"
8"
b)
Find the linear speed of the chain in inches per second.
c)
Find the angular speed of the larger wheel in radians per second.
1 statute (land) mile = 5280 feet
1 nautical mile = 1' of the earth's
circumference measured at the equator
Conversions:
1 statute mile = 0.87 nautical miles
1 nautical mile = 1.15 statute miles
Perform the following conversions:
13)
41.2 nautical miles =
14)
350 statute miles =
statute miles
nautical miles