Quarter Circle Area Calculator

Calculate the area of a quarter circle (1/4 of a circle) using radius. Area = (π × r²) / 4.

Formula

Area = (π × r²) / 4
  • Quarter circle = 1/4 of full circle
  • Full circle area = π × r²
  • Quarter circle area = (π × r²) / 4
  • Common in circular sector calculations and geometry problems

Example

Inputs
  • Radius: 5

Radius 5: Area = (π × 5²) / 4 = (π × 25) / 4 ≈ 19.63 square units.

Frequently asked questions

What's the difference from full circle?
A quarter circle is 1/4 the area of a full circle. Full circle: πr², Quarter circle: πr²/4.
What units should I use?
Radius in any length unit (cm, m, ft); result area is in that unit squared.