Precalc: Radian and Degree Measures

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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


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