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Area of Crescent Calculator - Multi-Tools

Area of Crescent Calculator

Calculate the area of a crescent (lune) shape formed by two intersecting circles.

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How to Calculate Crescent Area

The area of a crescent (lune) is calculated using the following steps:

  1. Calculate the area of the larger circle: A₁ = πR²
  2. Calculate the area of the smaller circle: A₂ = πr²
  3. Calculate the area of intersection: Aᵢ = f(R, r, d)
  4. Crescent Area = A₁ - A₂ - Aᵢ

A = πR² - πr² - Aᵢ

Where:

  • R is the radius of the larger circle
  • r is the radius of the smaller circle
  • d is the distance between circle centers
  • Aᵢ is the area of intersection

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