Quarter Circle Perimeter Calculator

Math

Calculate the perimeter of a quarter circle. Perimeter = (π × r / 2) + 2r (arc length plus two radii).

Formula

Perimeter = (π × r / 2) + 2r
  • Arc length of quarter circle = (π × r) / 2 = 1/4 of full circumference
  • Perimeter includes arc plus two straight radii
  • Total = arc + 2r = (πr/2) + 2r

Example

Inputs
  • Radius: 5

Radius 5: Arc = (π × 5) / 2 ≈ 7.85, Perimeter = 7.85 + 10 ≈ 17.85 units.

Frequently asked questions

What is quarter circle perimeter?
The complete boundary: curved arc + two straight radii sides.
How does it differ from full circle?
Full circle has circumference 2πr. Quarter circle has (πr/2) + 2r.