Physics > Thermometry and Thermal Expansion > 2.0 Thermal Expansions and it's types
Thermometry and Thermal Expansion
1.0 Introduction
2.0 Thermal Expansions and it's types
3.0 Relation between $\alpha ,\,\beta \,$ and $\gamma $
4.0 Variation of Density with Temperature
5.0 The Expansion of Water
6.0 Questions
2.2 Area Expansion
Similar to the linear expansion in area expansion also the fractional change in area is proportional to change in temperature,$$\begin{equation} \begin{aligned} \frac{{\Delta A}}{{{A_0}}} = \beta \Delta T\quad or\quad \Delta A = \beta {A_0}\Delta T \\ A - {A_0} = \beta {A_0}\Delta T \\ A = {A_0}\left( {1 + \beta \Delta T} \right) \\\end{aligned} \end{equation} $$Where $\beta $ is the coefficient of areal expansion.
