Effective Projected Area Calculator

How to Use This Calculator

1. Enter the width of your object in meters.
2. Enter the height of your object in meters.
3. Enter the viewing angle in degrees. This is the angle at which you are viewing the object from the horizontal plane.
4. Click the "Calculate" button to compute the effective projected area.
5. The result will be displayed in square meters.

Principle Behind the Calculation

The effective projected area is the apparent size of an object when viewed from a specific angle. It is calculated using the formula:

Effective Projected Area = (Width × Height) × sin(θ)

This formula works because the apparent height of an object at a given distance is proportional to the actual height multiplied by the sine of the viewing angle. The same principle applies to the width.

Example

Suppose you have a rectangular billboard with a width of 5 meters and a height of 3 meters, and you are viewing it from an angle of 30 degrees. The effective projected area would be:

Effective Projected Area = (5 m × 3 m) × sin(30°) = 15 m² × 0.5 = 7.5 m²

Applications

This calculator is useful in various fields:

• Architecture for designing buildings with large windows or facades
• Art for creating perspective drawings
• Engineering for visualizing large structures from different angles
• Advertising for determining the visibility of billboards or signs