SOLUTION: "The central angle pheta of a circle with radius 9 inches intercepts an arc of 20 inches. Find pheta to the nearest degree." Thats the problem word for word, any help is strongly

The Greek letter q is "theta", not "pheta". J

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The formula for q in radians, not degrees, is 

q =  

where s = the arc length and r = the radius.

So in radians

q =  = (radians)

To convert radians to degrees, we multiply by 

 = 127.3239545°

To the nearest degree: 127°

Edwin

You must not have gotten to radian measure.
See if this is the way you were taught.  It's the same answer.

s = ·r·q

20 = ·9·q
 
The 9 will divide into the 180 and give 20 on the bottom:

20 = ·q
 
Now we multiply both sides by 20

400 = p·q

Now we divide both sides by p

 = q

127.3239545° = q

To the nearest degree is 127°.  Same as the other one I posted here.

Edwin