Example Questions

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Change  angle to degrees.

Explanation:

In order to change an angle into degrees, you must multiply the radian by .

Therefore, to solve:

Explanation:

First we need to convert degrees to radians by multiplying by :

Now we can write:

Explanation:

First we need to convert degrees to radians by multiplying by :

Now we can write:

Give in degrees:

Explanation:

First we can find in radians:

To change radians to degrees we need to multiply radians by . So we can write:

Give in degrees:

Explanation:

First we can find in radians:

To change radians to degrees we need to multiply radians by . So we can write:

Explanation:

First we need to convert to radians by multiplying by :

Now we can solve the following equation for :

Give in degrees:

Explanation:

First we can find in radians:

To change radians to degrees we need to multiply radians by . So we can write:

Convert the angle  into degrees.

Explanation:

To convert radians to degrees, use the conversion .

In this case:

How many radians are in ?

Explanation:

Since, we can solve by setting up a proportion:

Cross-multiply and solve.

How many degrees are in  radians?