Drexel dragonThe Math ForumDonate to the Math Forum

Ask Dr. Math - Questions and Answers from our Archives
_____________________________________________
Associated Topics || Dr. Math Home || Search Dr. Math
_____________________________________________

Radian to Degree Conversions


Date: 11/11/2001 at 10:49:57
From: Jason
Subject: Reference angles

Can you give me a table of radian measures and their reference degree 
measures for the unit circle?


Date: 11/11/2001 at 13:46:33
From: Doctor Sarah
Subject: Re: Reference angles

Hi Jason - thanks for writing to Dr. Math.

Try making your own custom conversion table at the ConvertIt.com site:

   http://convertit.com/Go/ConvertIt/Measurement/Table_Input.ASP   

I did a little experimenting and put together this table:

 deg  radian   deg  radian   deg  radian   deg  radian   deg  radian
 
   1  0.017     74  1.292    147  2.566    220  3.840    293  5.114 
   2  0.035     75  1.309    148  2.583    221  3.857    294  5.131 
   3  0.052     76  1.326    149  2.601    222  3.875    295  5.149 
   4  0.070     77  1.344    150  2.618    223  3.892    296  5.166 
   5  0.087     78  1.361    151  2.635    224  3.910    297  5.184 
   6  0.105     79  1.379    152  2.653    225  3.927    298  5.201 
   7  0.122     80  1.396    153  2.670    226  3.944    299  5.219 
   8  0.140     81  1.414    154  2.688    227  3.962    300  5.236 
   9  0.157     82  1.431    155  2.705    228  3.979    301  5.253 
  10  0.175     83  1.449    156  2.723    229  3.997    302  5.271 
  11  0.192     84  1.466    157  2.740    230  4.014    303  5.288 
  12  0.209     85  1.484    158  2.758    231  4.032    304  5.306 
  13  0.227     86  1.501    159  2.775    232  4.049    305  5.323 
  14  0.244     87  1.518    160  2.793    233  4.067    306  5.341 
  15  0.262     88  1.536    161  2.810    234  4.084    307  5.358 
  16  0.279     89  1.553    162  2.827    235  4.102    308  5.376 
  17  0.297     90  1.571    163  2.845    236  4.119    309  5.393 
  18  0.314     91  1.588    164  2.862    237  4.136    310  5.411 
  19  0.332     92  1.606    165  2.880    238  4.154    311  5.428 
  20  0.349     93  1.623    166  2.897    239  4.171    312  5.445 
  21  0.367     94  1.641    167  2.915    240  4.189    313  5.463 
  22  0.384     95  1.658    168  2.932    241  4.206    314  5.480 
  23  0.401     96  1.676    169  2.950    242  4.224    315  5.498 
  24  0.419     97  1.693    170  2.967    243  4.241    316  5.515 
  25  0.436     98  1.710    171  2.985    244  4.259    317  5.533 
  26  0.454     99  1.728    172  3.002    245  4.276    318  5.550 
  27  0.471    100  1.745    173  3.019    246  4.294    319  5.568 
  28  0.489    101  1.763    174  3.037    247  4.311    320  5.585 
  29  0.506    102  1.780    175  3.054    248  4.328    321  5.603 
  30  0.524    103  1.798    176  3.072    249  4.346    322  5.620 
  31  0.541    104  1.815    177  3.089    250  4.363    323  5.637 
  32  0.559    105  1.833    178  3.107    251  4.381    324  5.655 
  33  0.576    106  1.850    179  3.124    252  4.398    325  5.672 
  34  0.593    107  1.868    180  3.142    253  4.416    325  5.672 
  35  0.611    108  1.885    181  3.159    254  4.433    326  5.690 
  36  0.628    109  1.902    182  3.176    255  4.451    327  5.707 
  37  0.646    110  1.920    183  3.194    256  4.468    328  5.725 
  38  0.663    111  1.937    184  3.211    257  4.485    329  5.742 
  39  0.681    112  1.955    185  3.229    258  4.503    330  5.760 
  40  0.698    113  1.972    186  3.246    259  4.520    331  5.777 
  41  0.716    114  1.990    187  3.264    260  4.538    332  5.794 
  42  0.733    115  2.007    188  3.281    261  4.555    333  5.812 
  43  0.750    116  2.025    189  3.299    262  4.573    334  5.829 
  44  0.768    117  2.042    190  3.316    263  4.590    335  5.847 
  45  0.785    118  2.059    191  3.334    264  4.608    336  5.864 
  46  0.803    119  2.077    192  3.351    265  4.625    337  5.882 
  47  0.820    120  2.094    193  3.368    266  4.643    338  5.899 
  48  0.838    121  2.112    194  3.386    267  4.660    339  5.917 
  49  0.855    122  2.129    195  3.403    268  4.677    340  5.934 
  50  0.873    123  2.147    196  3.421    269  4.695    341  5.952 
  51  0.890    124  2.164    197  3.438    270  4.712    342  5.969 
  52  0.908    125  2.182    198  3.456    271  4.730    343  5.986 
  53  0.925    126  2.199    199  3.473    272  4.747    344  6.004 
  54  0.942    127  2.217    200  3.491    273  4.765    345  6.021 
  55  0.960    128  2.234    201  3.508    274  4.782    346  6.039 
  56  0.977    129  2.251    202  3.526    275  4.800    347  6.056 
  57  0.995    130  2.269    203  3.543    276  4.817    348  6.074 
  58  1.012    131  2.286    204  3.560    277  4.835    349  6.091 
  59  1.030    132  2.304    205  3.578    278  4.852    350  6.109 
  60  1.047    133  2.321    206  3.595    279  4.869    351  6.126 
  61  1.065    134  2.339    207  3.613    280  4.887    352  6.144 
  62  1.082    135  2.356    208  3.630    281  4.904    353  6.161 
  63  1.100    136  2.374    209  3.648    282  4.922    354  6.178 
  64  1.117    137  2.391    210  3.665    283  4.939    355  6.196 
  65  1.134    138  2.409    211  3.683    284  4.957    356  6.213 
  66  1.152    139  2.426    212  3.700    285  4.974    357  6.231 
  67  1.169    140  2.443    213  3.718    286  4.992    358  6.248 
  68  1.187    141  2.461    214  3.735    287  5.009    359  6.266 
  69  1.204    142  2.478    215  3.752    288  5.027    360  6.283 
  70  1.222    143  2.496    216  3.770    289  5.044 
  71  1.239    144  2.513    217  3.787    290  5.061 
  72  1.257    145  2.531    218  3.805    291  5.079 
  73  1.274    146  2.548    219  3.822    292  5.096 

Is this what you need?

- Doctor Sarah, The Math Forum
  http://mathforum.org/dr.math/   
    
Associated Topics:
High School Geometry
High School Trigonometry
Middle School Geometry
Middle School Terms/Units of Measurement

Search the Dr. Math Library:


Find items containing (put spaces between keywords):
 
Click only once for faster results:

[ Choose "whole words" when searching for a word like age.]

all keywords, in any order at least one, that exact phrase
parts of words whole words

Submit your own question to Dr. Math

[Privacy Policy] [Terms of Use]

_____________________________________
Math Forum Home || Math Library || Quick Reference || Math Forum Search
_____________________________________

Ask Dr. MathTM
© 1994-2013 The Math Forum
http://mathforum.org/dr.math/