Created by: Rita B.

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Revolutions

1:    ¾ (1 revolution counterclockwise)

To do revolutions counterclockwise you take the number given (¾) and multiply it by 360 degrees.

    ~  ¾ × 360º =  270º ~

2:    3/5 (1 revolution clockwise)

To do revolutions clockwise you take the number given (3/5) and multiply it by -360 degrees.

~   3/5  × -360º =   -216º ~

Degrees to Radians

Change the number from degrees to Radians.

1:   270º 

To change a number from degrees to radians, you first make a decision to either use the formula : 180/pie (3.14)  or  pie(3.14)/180. The way you make this decision is by putting the given number over 1. You would choose the equation pie/180 to be able to simplify the equation when it is cross multiplied. 

    ~    270º/1 = pie/180  :  270/180 simplified equals out to be 3/2.   ~

Therefore, your answer will be 3pie/2. (3/2  × pie/1)

Radians to Degrees

Change the number from Radians  to Degrees.

1:   3pie/2 

To change a number from radians to degrees, you first make a decision to either use the formula : 180/pie (3.14)  or  pie(3.14)/180. (If necessary put the  given number over 1.) You would choose the equation 180/pie  to be able to cancel out pie  when it is cross multiplied. 

    ~   3pie/2 = 180/pie     ~

Cancel out the both of the "pie"  and that leaves you with 3/2 = 180/1.

Now you are ready to cross multiply. Simplify 180 and 2, to 90 and 1.

Your answer will be 270º.

Changing Minutes and Seconds to Decimal Degrees

Change into decimal degrees

1:  6º 35' 23'' 

Take the seconds and divide them by 60... 

    ~   23/60 = .3833    ~

Add your answer to the minutes...

~   35 + .3833 = 35.3833     ~

Divide the answer by 60...

~   35.3833/60 = .5897     ~

Add the answer to the degree number...

~   6 + .5897     ~

Your answer is 6.5897º.

Inspirational Math Quotes

1. Do not worry about your problems with mathematics, I assure you mine are far greater.
   --Albert Einstein  

2. If it's green, it's biology, If it stinks, it's chemistry, If it has numbers it's math, If it doesn't work, it's technology.
   --Unknown

For extra help you may want to visit :

Bibliography : 

1. http://home.att.net/~quotations/math.html

2. http://mathforum.org/library/drmath/view/58362.html

3.  http://www.teacherschoice.com.au/Maths_Library/Angles/Angles.htm