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ziro4ka [17]
3 years ago
7

HELP PLZ!!! LOTS OF POINTS

Mathematics
1 answer:
Darya [45]3 years ago
7 0

I'm going to assume that the ' 7.51 ' is the angle expressed in radians.
So this is just like any other unit conversion exercise.

You know that                  180 degrees = pi radians.

Divide each side by pi radians, and you have

                      180 degrees / pi radians = 1 .

Great !  Now take the angle you have ... 7.51 radians ...
and multiply it by ' 1 '.

      (7.51 radians) x (180 degrees / pi radians) =

<em>                              </em> (7.51 x 180 / pi) degrees =<em>  430.29 degrees</em>


As you ( I ) worked through this problem, a very useful number
fell out . . .  It's  180/pi  =  57.296 ,  or just  <em>57.3</em>  is close enough.

Here's how you can use that number:

-- 1 radian  =  <u>57.3</u>  degrees

-- 1 degree  =  1/57.3  of a radian

-- Got some radians ?  Multiply by  <u>57.3</u>  to get degrees.

-- Got some degrees ?  Divide by  <u>57.3</u>  to get radians.


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