Area Formulas: The 10 Shapes You'll Actually Use

Most area formulas you learned in school stick around for a lifetime. Here are the ten that matter and when each one shows up.

Google this topic and you will get a hundred answers, half of them wrong. Here is the version that holds up. Most area formulas you learned in school stick around for a lifetime. Here are the ten that matter and when each one shows up.

Square

side². 5m × 5m = 25 m².

Rectangle

length × width. Used everywhere from rooms to billboards.

Triangle

(base × height) / 2. Right triangle special: legs / 2.

Circle

π × r². Radius squared, then π. 10cm radius = ~314 cm².

Trapezium

((a + b) / 2) × height. Common in land plots.

Parallelogram

base × height.

Ellipse

π × a × b (semi-major × semi-minor axes).

Sector of a circle

(θ / 360) × π × r². Pie slices.

Surface of a sphere

4 × π × r².

Surface of a cube

6 × side².

Pro tips

  • Always check units. Mixing cm and m kills more answers than the math does.
  • For irregular shapes: break into known shapes, sum the areas.

Frequently asked questions

How do I find area of an irregular plot? Apex's surveyor formula, or break into triangles using Heron's formula.

What's the area of land in marla? 1 marla = 272.25 sq ft. Multiply marla count × 272.25 for sq ft.

The math is the easy part. Acting on what it tells you is where the real win lives.

Related