Quarter Circle Calculator

Math

Calculate quarter circle properties: area and perimeter using radius.

Formula

Area = (π × r²) / 4; Perimeter = (π × r / 2) + 2r
  • Quarter circle = 1/4 of full circle
  • Area: (πr²) / 4
  • Perimeter: arc + two radii = (πr/2) + 2r

Example

Inputs
  • Radius: 5

Radius 5: Area ≈ 19.63, Perimeter ≈ 17.85 units.

Frequently asked questions

What is a quarter circle?
1/4 of a full circle, bounded by two perpendicular radii and a circular arc.
When would I use this?
Geometry problems, landscape design, circular sector calculations.