109k views
4 votes
HELP PLZ!!! LOTS OF POINTS

Convert each angle measure into degrees

7.51(convert this into degrees with explanation please :D)

User El Sampsa
by
8.1k points

1 Answer

3 votes

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) =

(7.51 x 180 / pi) degrees = 430.29 degrees


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

Here's how you can use that number:

-- 1 radian = 57.3 degrees

-- 1 degree = 1/57.3 of a radian

-- Got some radians ? Multiply by 57.3 to get degrees.

-- Got some degrees ? Divide by 57.3 to get radians.


User Mmcfly
by
7.0k points