Precalc: Radian and Degree Measures
What is the complement and supplement of 100 degrees?
-10 and 80
What is -7pi/12 radians in degrees?
-105
Find a positive and negative coterminal angle for pi/6
-11pi/6 and 13pi/6
Find a positive and negative coterminal angle for 190 degrees
-170 and 550
Find a positive and negative coterminal angle for 145 degrees
-215 and 505
What is a positive and negative coterminal angle for 145 degrees?
-215 and 505
What is a positive and negative coterminal angle for pi/2?
-3pi/2 and 5pi/2
What is -240 degrees in radians?
-4pi/3
Find a positive and negative coterminal angle for 2pi/3
-4pi/3 and 8pi/3
What is -3.24 radians in degrees?
-583.2/pi or -185.6
What is -11pi/30 radians in degrees?
-66
What is -315 degrees in radians?
-7pi/4
What is the complement and supplement of 7pi/12?
-pi/12 and 5pi/12
What is -20 degrees in radians?
-pi/9
What is the complement and supplement of 80 degrees?
10 and 100
What is 3pi/5 radians in degrees?
108
How do you convert radians to degrees?
180/pi
What is pi/9 radians in degrees?
20
What is 7pi/6 radians in degrees?
210
Find the arc length given: r=12mm and O=330 degrees
22pi mm
What is 250 degrees in radians?
25pi/18
Find the area of the sector whose radius is 5cm and whose central angle is pi/3?
25pi/6 cm^2 or 13.1 cm^2
What is 3pi/2 radians in degrees?
270
Determine the area of a field sprayed by a sprinkler that rotates 135 degrees that has a spray length of 6 feet
27pi/2 ft^2
Find a positive and negative coterminal angle for -2pi/15
28pi/15 and -32pi/15
What is pi/6 in degrees?
30 degrees
Find the radius of a circle whose arc length is 20 inches and whose central angle is 120 degrees?
30/pi inches
Find the area of the sector whose radius is 30/pi an whose central angle is 120 degrees?
300/pi in^2 or 95.46 in^2
What is the angle for a circle with an arc length of 8 and a radius of 14 feet?
4/7
What is 7pi/3 radians in degrees?
420
What is 2.5 radians in degrees?
450/pi degrees or about 143.2 degrees
What is the angle in radians for a circle that has an arc length of 20 and a radius of 12?
5/3
Find the length of the arc of a circle whose radius is 5cm and whose central angle is pi/3?
5pi/3 cm
What is 150 degrees in radians?
5pi/6
What is 210 degrees in radians?
7pi/61
What is the equation for area of a sector?
A=(1/2)r^2O
What quadrant does -285 degrees lie in?
I
What quadrant does 45 degrees lie?
I
What quadrant does 8.3 degrees lie in?
I
What quadrant does 130 degrees lie in?
II
What quadrant does 3pi/4 lies?
II
What quadrant does -125 degrees lie?
III
What quadrant does -2pi/3 radians lie in?
III
What quadrant does 257 degrees lie in?
III
What quadrant does 5pi/4 radians lie in?
III
What quadrant does -1 radians lie?
IV
What quadrant does 11pi/6 radians lie in?
IV
What represents the central angle?
O (in radians)
What is the equation for the central angle of arc length?
O=s/r
What is an angle in standard position?
One where the initial side is on the x axis
What is the terminal side of an angle?
The side the angle ends on
What is the initial side of an angle?
The side the angle starts on
What is a negative angle?
angle that goes clockwise
What is a positive angle?
angle that goes counterclockwise
What are coterminal angles?
angles that have the same terminal side
What does the A stand for?
area
How do you find conterminal angles?
by adding or subtracting 360 degrees or 2pi
How can you measure angles?
in degrees or radians
What quadrant does 5pi/2 radians lie in?
none
How do you convert from degrees to radians?
pi/180
What is the complement and supplement of pi/4?
pi/4 and 3pi/4
What is 30 degrees in radians?
pi/6
What represents radians?
r
What represents arc length?
s
What is the equation for arc length?
s=rO
What is the area of a sector measured in?
square units
Are 360 and 2pi the same?
yes
