Question

Help

Answer 1

so to go from radians to degrees simply multiply by (180/pi)

Answer 2

57.3

Answer 3

4 * 180/pi = ?

Answer 4

229.18

Answer 5

good, that's it

Answer 6

(important definition to remember: one radian is defined as the angle that makes the arc equal to the radius)

with that being said, which two choices do you think might apply?

Answer 7

A

Answer 8

good, anything else?

Answer 9

b

Answer 10

Hm, that's not quite right, arc length/r is only equal to 1 in a very specific circumstance (angle = 1 radian)

Answer 11

so c

Answer 12

good, A+C

Answer 13

arc = radius * theta

**** important: this only works if the angle is in radians, which it is here

Answer 14

2.25

Answer 15

perfect

Answer 16

ok, so to convert from degrees to DMS (degrees/minutes/seconds) we leave the whole number part alone (42 degrees) then work on the 0.54 part

we can multiply 0.54 by 60 to get 32.4, then we take the whole number part as 32 ' (32 minutes) and then multiply that decimal part again by 60 (so .4 * 60 ---> 24 seconds)

so 24 seconds

would recommend jotting these steps down

Answer 17

so 24

Answer 18

yes

Answer 19

should I label it like 24 seconds or only 24

Answer 20

the '' marks (seconds) are already given in the problem, so just 24

Answer 21

converting from DMS to degrees

degrees + (1/60)*minutes + (1/3600)*seconds

take your degrees, minutes, and seconds values from the original (32deg 15 min 66 seconds)

Answer 22

(1/60)*15 + (1/3600)*66= 0.27

Answer 23

don't forget to add the original 32 degrees

Answer 24

59

Answer 25

32 + 0.27 = ?

Answer 26

32.27

Answer 27

good, that's your ans

Answer 28

A?

Answer 29

arc = radius * theta

since the angle is in degrees first you need to convert theta to radians first

Answer 30

oh yeah I got A too gj

Answer 31

B and D

Answer 32

you kinda just have to do the conversions and see which ones are correct

Answer 33

I think you're missing at least one

Answer 34

also, for B, 180 degrees is pi radians not pi/2 so not B

Answer 35

C and D

Answer 36

30 degrees is pi/6 radians so not D

Answer 37

whicheliminateseverything except A + C = your answer

Answer 38

0.628 radians

Answer 39

hundredth, so only 2 decimal places --> 0.63 = your ans

Answer 40

C

Answer 41

try re-doing the 45 deg to radians conversion

Answer 42

D

Answer 43

good

Answer 44

c and b

Answer 45

some definitions to go over:

acute angle = less than 90 degrees
obtuse angle = between 90 and 180
reflex angle = 180-360

with this in mind try re-doing some of your calculations

Answer 46

A and C

Answer 47

D still works (it's equal to 240) so ACD = your answer