My Math Forum Flattened Dimension of an Arc Segment?

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 January 26th, 2017, 12:33 PM #1 Newbie   Joined: Jan 2017 From: Philadelphia, PA Posts: 2 Thanks: 0 Flattened Dimension of an Arc Segment? Hello, I am a graphic designer and have a problem. I am designing digitally printed artwork that will be applied to a panel that is already radiused. I need to create an equal border all around, but can not figure this out until I know the what the larger, flat dimension of the radiused panel would be. Attached is the information that I know. Thank you in advance for your help.
 January 26th, 2017, 05:21 PM #2 Global Moderator   Joined: May 2007 Posts: 6,399 Thanks: 546 Are you asking for the arc length? Get angle in radians $\displaystyle a=\frac{67\frac{2}{3}}{180}\pi$. Arc length = 20.375a. Thanks from rojopeters
 January 27th, 2017, 04:09 AM #3 Newbie   Joined: Jan 2017 From: Philadelphia, PA Posts: 2 Thanks: 0 Thanks for your response mathman. Not the arc length, but the flattened length. I may not be using proper terminology, so I apologize. If you could visualize physically holding the arc segment and and then bending it flat, what would the flat length be? Thank you!
 January 27th, 2017, 06:22 PM #4 Global Moderator   Joined: May 2007 Posts: 6,399 Thanks: 546 If there is no stretching or shrinking, the flattened length equals the arc length. If it doesn't, then you'll need to define flattened length better.
 January 27th, 2017, 06:42 PM #5 Senior Member     Joined: Sep 2015 From: USA Posts: 1,656 Thanks: 842 given the numbers shown the panel needs to be 24.063 inches wide. Last edited by romsek; January 27th, 2017 at 06:45 PM.

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