# How do you determine the quadrant in which #6.02# radians lies?

##### 3 Answers

I tried this:

#### Explanation:

Radians are a bit difficult and confusing because it is not easy to "see" the angle as in degrees.

We know that an angle of

When I have an angle in radians and I want to place it in terms of quadrants I always try to evaluate mentally the position by referring to

You can build a mental map of radians for each quadrant:

1st quadrant: from

2nd quadrant: from

3rd quadrant: from

4th quadrant: from

The real trick, anyway, is experience and to use radians extensively to try to get used to them.

You can convert it to degrees, since it then becomes easier to figure it out.

#### Explanation:

To convert something from radians to degrees, you have to multiply it by a conversion factor of

The logic behind this is that since

And you may know, that multiplying anything by

Also, more importantly, multiplying a

For this particular question, we have been given

Using the conversion factor mentioned above,

#6.02cancel("radians") xx 180^@ / (3.14 cancel("radians")#

#=6.02xx180^@/3.14 = 345.06^@#

Now, to locate

(Although you can guess that it will be in the 4th quadrant because it is slightly less than

In this image, we can see that

Hope this helps :)

Quadrant IV

#### Explanation:

We know that their are

My preferred approach is to just learn (or calculate) the quadrants, based on the

If we have an angle,

Then we use the quadrant and trace map out multiples of

So if we take the angle