Saturday, August 28, 2010

Converting Radians and Degrees.

In the past two weeks, I caught on to a few new math formulas. The two that
I totaly understand, are the formulas for turning Radians into Degrees and turning Degrees
into Radians. Everybody relates circles to degrees; an entire circle is 360 degrees, 3/4 of a
circle is 270 degrees, half of a cirlce is 180 degrees, and 1/4 of a circle is 90 degrees. Well in
math, there are always multiple ways to read and work problems. Just as you can measure
a road by meters or inches, you can measure angles by Radians and Degrees.

Here are the names for the radians and degrees of a circle.

CIRCLE DEGREES RADIANS
4/4 360 2 pi
3/4 270 3 pi/2
2/4 180 pi
1/4 90 2/pi

Now, the formula to convert degrees to radians is:
Degree (pi / 180)

The formula to convert radians to degrees is:
Radians (180 / pi)

~~~~~~Here are some examples to help you get an idea of whats going on!~~~~~~
~~~( * will be used as degree sign)~~~


Example #1 Convert 200* into radians
~ plug 200* into the formula
~ 200*(pi/180)

~ work

~ 200/180 pi radians or 3.49 radians



Example #2 Convert 1.4 radians into degrees
~plug 1.4 into the formula
~1.4 (180/pi)

~work

~80.2*

Hopefully this will help anybody that would be in need for these formulas.

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