Roof Angle, Pirch, Run, and Slope

Roof Angle formulas

\(\large{ Angle = tan^{-1} \; \frac{ Rise }{ Run }  }\)

\(\large{ Run = \frac{ Rise }{ Slope } \; 100  }\) 

\(\large{ Slope = tan^{-1} \; \frac{ Rise }{ \frac{ Run }{ 12 } }  }\)

Roof Pitch formulas

\(\large{ Pitch = \frac{ Rise }{ \frac{ Run }{ 12 } }  }\)

\(\large{ Angle = tan^{-1} \; \frac{ Rise }{ Run }  }\)

\(\large{ Slope = \frac{ Rise }{ Run } \; 100  }\) 

Roof Run formulas

\(\large{ Run =  \frac{ Rise }{ tan }  }\)

\(\large{ Pitch = \frac{ Rise }{ \frac{ Run }{ 12 }  }  }\)

\(\large{ Slope = \frac{ Rise }{ Run } \; 100  }\) 

Roof Slope formulas

\(\large{ Slope = \frac{ Rise }{ Run } \; 100  }\) 

\(\large{ Angle = tan^{-1} \; \frac{ Rise }{ Run }  }\)

\(\large{ Run = \frac{ 12 \; Rise }{ Pitch }  }\)