Area Calculator

Area is evaluated from Shape, Length / Base / Radius / Side and Width / Height / Semi-minor. The calculation reports Area, Formula Used and Perimeter.

Results

Thanks — we’ve logged this for review.

About the Area Calculator

Area is treated here as a quantitative relation between Shape, Length / Base / Radius / Side, Width / Height / Semi-minor and Second Parallel Side and Area, Formula Used and Perimeter.

The calculator uses a multi formula configuration. Each reported value is read as a direct evaluation of the stored rules with the declared field formats and units.

Formula basis:
Rectangle: A = l x w
Triangle: A = ½ x b x h
Circle: A = pi x r^2
Trapezoid: A = ½ x (b₁ + b₂) x h

Interpret the outputs in the order shown by the result fields. Optional inputs affect only the outputs that depend on those variables.

Formula & How It Works

The calculation applies the following relations exactly as recorded in the metadata:

Rectangle: A = l x w
Triangle: A = ½ x b x h
Circle: A = pi x r^2
Trapezoid: A = ½ x (b₁ + b₂) x h

Each output field is produced by substituting the supplied inputs into the relevant relation and then applying the declared rounding or text format.

Worked Examples

Example 1: Living Room Flooring

Inputs

shape: rectangle dim1: 18 dim2: 14
Area: 252 sq units. Formula Used: A = l * w. Perimeter: 64 units

With Shape = rectangle, Length / Base / Radius / Side = 18 and Width / Height / Semi-minor = 14 as the stated inputs, the result is Area = 252 sq units, Formula Used = A = l * w and Perimeter = 64 units. Each value corresponds to the declared output fields.

Example 2: Circular Pool Cover

Inputs

shape: circle dim1: 12
Area: 452.389342 sq units. Formula Used: A = PI * r**2. Perimeter: 75.3982 units

With Shape = circle and Length / Base / Radius / Side = 12 as the stated inputs, the result is Area = 452.389342 sq units, Formula Used = A = PI * r**2 and Perimeter = 75.3982 units. Each value corresponds to the declared output fields.

Example 3: Triangular Lot — Property Tax

Inputs

shape: triangle dim1: 150 dim2: 80
Area: 6,000 sq units. Formula Used: A = 0.5 * b * h. Perimeter: 0 units

With Shape = triangle, Length / Base / Radius / Side = 150 and Width / Height / Semi-minor = 80 as the stated inputs, the result is Area = 6,000 sq units, Formula Used = A = 0.5 * b * h and Perimeter = 0 units. Each value corresponds to the declared output fields.

Example 4: Trapezoidal Deck

Inputs

shape: trapezoid dim1: 20 dim2: 12 dim3: 14
Area: 204 sq units. Formula Used: A = 0.5 * (b₁ + b₂) * h. Perimeter: 0 units

With Shape = trapezoid, Length / Base / Radius / Side = 20, Width / Height / Semi-minor = 12 and Second Parallel Side = 14 as the stated inputs, the result is Area = 204 sq units, Formula Used = A = 0.5 * (b₁ + b₂) * h and Perimeter = 0 units. Each value corresponds to the declared output fields.

Common Use Cases

  • Calculate floor area for flooring or carpet purchase
  • Find area of a lot or parcel of land
  • Determine paint coverage for a wall
  • Compute cross-sectional area for engineering