Area Calculator

Area
0
square units

What Is an Area Calculator?

An area calculator finds the surface area of common 2D shapes — rectangles, squares, circles, triangles, and trapezoids — using each shape's standard geometric formula.

How to Use the Area Calculator

  1. Select the shape you need.
  2. Enter the required dimensions.
  3. The area is calculated instantly in the same units you entered (squared).

Area Formulas

Rectangle
Area = length × width
Square
Area = side²
Circle
Area = π × radius²
Triangle
Area = ½ × base × height
Trapezoid
Area = ½ × (base₁ + base₂) × height

Worked Example

Example: Rectangle 12 ft × 8 ft

Area = 12 × 8 = 96 square feet

Understanding Your Results

Area is always expressed in square units (e.g., square feet, square meters) since it measures two-dimensional space. Make sure all your input measurements use the same unit before calculating — mixing feet and inches, for example, will give an incorrect result.

Common Uses for Area Calculations

  • Flooring, tiling, carpet, or paint quantity estimates.
  • Landscaping and garden bed planning.
  • Construction and material cost estimates.
  • Homework and geometry problem-solving.

Common Mistakes to Avoid

  • Mixing units (e.g., entering length in feet and width in inches) without converting first.
  • Using the diameter instead of the radius for circle calculations.
  • Forgetting the ½ factor in the triangle and trapezoid formulas.

Frequently Asked Questions

Multiply π (approximately 3.14159) by the radius squared. If you only have the diameter, divide it by 2 first to get the radius.

Area measures the two-dimensional space inside a shape (in square units), while perimeter measures the total distance around its edges (in linear units).

Break it into simpler shapes (rectangles, triangles, etc.), calculate each area separately, then add them together.

Because it measures two dimensions multiplied together (length × width), the resulting unit is also "squared" — such as square feet or square meters.

Measure the room's length and width in feet, multiply them for a rectangular room, and add extra for waste (commonly 10%) when ordering flooring material.