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A hip roof, or hipped roof, is a type of roof where all sides slope downwards to the walls, usually with a fairly gentle slope. A square hip roof is shaped like a pyramid. Hip roofs on rectangular houses will have two triangular sides and two trapezoidal ones. A hip roof on a rectangular plan has four faces.
Whenever architecture involves the use of lines that are not on the x or y axis, it will involve trigonometry to calculate the length of lines and the angles they make from one another.One example is calculating roof pitch.
A roof angle of 6 degrees = 1.26 / 12 rise or pitch.
Roof pitch is rise and run. So if you have a 4/12 pitch, for every foot of run the roof rises 4 inches.
One square covers 100 square feet, so to cover 1900 square feet of roof you would need 19 squares. However, you also need "starter shingles" and "hip and ridge" shingles, plus you need to have a few extras because of waste from cutting angles. Starter shingles go around the perimeter of the roof as a bottom layer for the first course of shingles. Hip and ridge shingles go, as you might expect, on the hips and ridges. In order to know for sure the exact quantity you would need for the entire roofing job you have to measure all of these areas.