Perimeter Formulas

Perimeter is the total length of a shape’s boundary, measured in ordinary length units.

Formulas

ShapePerimeter
Square4s
Rectangle2(l + w)
Trianglea + b + c
Circle2πr = πd
Semicircleπr + 2r
Sector2r + (θ/360) × 2πr
Regular polygonn × s
Parallelogram2(a + b)
Ellipse (approx.)π[3(a + b) − √((3a + b)(a + 3b))]

Example

A running track: two straights of 84.39 m, two semicircles of radius 36.8 m

  1. Straights: 2 × 84.39 = 168.78
  2. Curves: 2πr = 2π × 36.8 ≈ 231.22

≈ 400 m (measured on the inside lane).