If force is constant then with same force it has to act on a body So when area is more then same amount of force has to be distributed in the whole area whereas when area is less the force is not much distributed so when area is more the pressure decreases whereas when area is less the pressure increases so pressure is inversely proportional to area when force is constant

Pressure is inversely proportional to area

Explanation:
Pressure is defined as the force applied per unit area. It is a measure of the intensity of the force distributed over an area. Mathematically, pressure (P) is calculated as the ratio of force (F) to the area (A) over which the force is distributed:

P = F/A

When the force is constant, the pressure is inversely proportional to the area. This means that as the area increases, the pressure decreases, and vice versa.

Example:
Let's consider a simple example to understand this concept. Imagine you have a balloon filled with air. If you press on the surface of the balloon with your finger, you are applying a force to a certain area. If you press with the same force but spread your fingers apart, the area over which the force is distributed increases. As a result, the pressure on the balloon decreases, and you are less likely to pop it.

Mathematical Explanation:
To understand why pressure is inversely proportional to area, let's rearrange the formula for pressure:

P = F/A

If the force (F) remains constant, and we increase the area (A), the pressure (P) decreases. This can be mathematically expressed as:

P1 = F/A1
P2 = F/A2

Since F is constant, we can rewrite the equation as:

P1/P2 = A2/A1

From this equation, it is clear that as A2 (the larger area) increases relative to A1 (the smaller area), the pressure decreases. This relationship holds true as long as the force remains constant.

Conclusion:
In conclusion, when the force applied remains constant, the pressure is inversely proportional to the area. This means that as the area over which the force is distributed increases, the pressure decreases. Conversely, if the area decreases, the pressure increases.