Reading a 6/12 roof
A 6/12 pitch rises 6 inches for every 12 inches of run. That works out to 26.57 degrees off horizontal, a slope factor of 1.118, and a 50 percent grade. The angle is the number people picture; the slope factor is the number that orders material.
Take a gable with a 30 by 40 foot footprint. The plan area is 1,200 square feet, but the roof is not flat. Multiply by the 1.118 slope factor and the actual roof surface is about 1,342 square feet, before waste. Skip the factor and you order 142 square feet short, more than a square of shingles. On a 30 foot wide gable, each common rafter runs 15 feet of run times 1.118, about 16 feet 9 inches, before the ridge and overhang adjustments.