For a project I'm doing, I'm wrapping an led strip light around a tube. The tube is 19mm in diameter and 915mm tall. I'm going to coil the led strip around the tube from top to bottom and the strip is 8mm wide, so the coils will be 8mm apart. How long does the led strip need to be to fully cover the tube?
This reminds me of a popular question on Math SE about a toilet paper roll, but slightly different. I estimated this by measuring how many 8mm wide circles could fit around the tube, then multiplied by the circumference. However, I don't know how to calculate the exact length of the coil. Out of curiosity, how would you find the exact length of the coil wrapping around the tube with each coil being 8mm apart?