Measurement of one degree into inches

Ok here is my quandry
I am a machinist and for the life of me i can not figure out what the conversion for this would be in order to help me further with in the scope of my work..eg.... i have a part that sits on it's edge we will call this 90 degrees if i tilt the part 9 degrees either way how far(in inches) has the part moved from its original postion?

Thanks in advance for all the help you may be able to provide

Ok here is my quandry
I am a machinist and for the life of me i can not figure out what the conversion for this would be in order to help me further with in the scope of my work..eg.... i have a part that sits on it's edge we will call this 90 degrees if i tilt the part 9 degrees either way how far(in inches) has the part moved from its original postion?

Thanks in advance for all the help you may be able to provide

The amount the part moves from its original position (chord length) depends on the length of the piece being turned. Using inches, the answer will be in decimal inches.

The formula is: 2 R (Sin½ I)

Where:
R = Radius (Length from Pivot Point to End)
I = Central Angle (Degrees)

Example: If the length of the piece being turned is 6":

2 R (Sin½ I)
2*6 (Sin½ 9º)
2*6 (Sin 4.5º)
12 * 0.07845909
0.941509 decimal inches

Because the width of the piece is a factor, be sure to measure on the same side as the angle is tilted so the radius point doesn’t move.