Circle Theorems Calculator

Apply circle theorems to calculate angles and relationships

Use fundamental circle theorems to find inscribed angles, central angles, and understand their relationships.

Circle Theorem

The inscribed angle is always half the central angle that subtends the same arc.

Other Titles
Understanding Circle Theorems Calculator: A Comprehensive Guide
Explore fundamental circle theorems and their applications in geometry

Understanding Circle Theorems Calculator: A Comprehensive Guide

  • Circle theorems are fundamental principles in geometry
  • They describe relationships between angles, arcs, and chords
  • Understanding these theorems is essential for advanced geometry
Circle theorems are mathematical principles that describe the relationships between various elements of circles, including angles, arcs, chords, and tangents.
The most fundamental theorem states that an inscribed angle is always half the central angle that subtends the same arc.

Basic Examples

  • If a central angle is 60°, the inscribed angle is 30°
  • Angles inscribed in a semicircle are always 90°
  • Opposite angles in a cyclic quadrilateral sum to 180°