Area

Written by Jerry Ratzlaff on . Posted in Geometry

circle diameter 4

Area, abbreviated as A, is the square units of a given plane.

Area FORMULA

\(\large{ A =  \pi \; r^2  }\)

\(\large{ A =  \frac{ \pi \; d^2 }{ 4 }  }\)

\(\large{ A =  \frac{ C \; r }{ 2 }  }\)

\(\large{ A =  \frac{ C^2 }{ 4 \; \pi }  }\)

\(\large{ A =  r_h \; P  }\)     (cross-section flow area)

\(\large{ A =  h_m \; T  }\)     (cross-section flow area)

\(\large{ A = \frac{F}{p} }\)

\(\large{ A =  \frac{ Q }{ v }   }\)

\(\large{ A = \frac{F}{\sigma} }\)

Where:

\(\large{ A }\) = area

\(\large{ C }\) = circumference

\(\large{ Q }\) = flow rate

\(\large{ F }\) = force

\(\large{ r_h }\) = hydraulic radius

\(\large{ h_m }\) = mean depth

\(\large{ \pi }\) = Pi

\(\large{ p }\) = pressure

\(\large{ r }\) = radius

\(\large{ \sigma }\)  (Greek symbol sigma) = stress

\(\large{ T }\) = top of water surface width

\(\large{ v }\) = velocity

\(\large{ P }\) = wetted perimeter