# Area

Written by Jerry Ratzlaff on . Posted in Geometry

## Area

Area ( $$A$$) is the square units of a given plane.

## Area Differential

Area differential is the difference between an expanded or reduced area of an object.

### Area Differential FORMULA

$$\Delta A = A_f \;- \; A_i$$

Where:

$$\Delta A$$ = area differential

$$A_i$$ = initial area

$$A_f$$ = final area

## Area Thermal Expansion

### Area Thermal Expansion FORMULA

$$\Delta A = \gamma A_i \Delta T$$

$$\Delta A = 2 \alpha A_i \Delta T$$

Where:

$$\Delta A$$ = area differential

$$\gamma$$ = area thermal expansion coefficient

$$A_i$$ = initial area

$$\Delta T$$ = temperature differential