Your question is incomplete. it must be the area enclosed in PV diagram

Introduction:

In thermodynamics, an indicator diagram represents the relationship between pressure and volume during one complete cycle of a cyclic process. The area enclosed by the indicator diagram is a significant parameter that can be used to determine the total work done during the cycle.

Explanation:

Cyclic Process:
A cyclic process is a thermodynamic process that starts and ends at the same state. It can be represented by an indicator diagram, which shows the changes in pressure and volume during the cycle.

Total Work Done:
The work done during a cycle can be calculated by integrating the pressure-volume (P-V) curve over the entire cycle. Mathematically, the total work done (W) is given by the equation:

W = ∫PdV

Where P is the pressure and dV is the infinitesimal change in volume.

Area enclosed by the Indicator Diagram:
The area enclosed by the indicator diagram represents the work done during one complete cycle. This can be understood by considering the following points:

1. During the expansion phase of the cycle, the pressure decreases while the volume increases. The work done during this phase is given by the negative area under the curve.
2. During the compression phase of the cycle, the pressure increases while the volume decreases. The work done during this phase is given by the positive area under the curve.
3. The total work done during the cycle is the algebraic sum of the work done during the expansion and compression phases. This can be represented by the area enclosed by the indicator diagram.
4. The positive and negative areas cancel each other out, resulting in the net work done during the cycle.

Conclusion:
In conclusion, the total work done in one complete cycle of a cyclic process is equal to the area enclosed by the indicator diagram. This is because the positive and negative areas under the curve represent the work done during the expansion and compression phases, respectively. By calculating the net area enclosed by the indicator diagram, we can determine the total work done during the cycle.