Question

Write down the units and dimensional formulae of following physical quantities:
Area

Answer 1

Units and dimensional formula of area:

• Area can be defined as the region bounded by a surface.
• Mathematically, it can be given as$Area={\left(length\right)}^2$ .
• So, the unit of area$=m^2$, i.e., square meters.
• Dimensional formula of area:
  $$\begin{gathered} \left[A\right]={\left(length\right)}^2 \\ =\left[L^2\right] \end{gathered}$$

Thus, the unit of area $m^2$ and its dimensional formula is $\left[A\right]=\left[L^2\right]$.