# Spherical Triangle Calculator

A spherical triangle is a geometric figure on the surface of a sphere consisting of three points and three arcs of large circles connecting these points in pairs.

**Spherical Triangle Calculator**

**Circle radius (r)**

**Corner α**

**Corner β**

**Corner γ**

**Spherical excess (ε)**

**Square (S)**

## Formulas

ε = α + β + γ – π

ε = α + β + γ – 180 °

S = ε * r2