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Intersecting Chords Theorem Calculator

Online intersecting-chords theorem calculator. Enter three segments made by two intersecting chords to find the fourth, by equal products—ideal for circle geometry.

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PA·PB = PC·PD
Segment of chord 1
Other segment of chord 1
Segment of chord 2

📖 Tutorial | Intersecting Chords

1. Definition
For two chords meeting inside, the products of the segments are equal.
2. Formula & Notation
PA, PBSegments of one chord
PC, PDSegments of the other
3. Properties & Laws
  • PA·PB = PC·PD;
  • At the center all equal the radius;
  • Inside-point power;
  • Holds for diameters.
4. Steps
  1. Enter three segments;
  2. Click "Find PD";
  3. Or click "Load Example".
5. Worked Examples
Example: 4, 6, 3.
Solution: PD = 8.
6. Common Pitfalls
Products of two segments;
All positive;
Intersection is inside.

❓ FAQ | Intersecting Chords

Content?
Equal products of segments.
4,6,3 PD?
8.
Find a segment?
Divide equal products.
Power of a point?
Inside case.
At the center?
All equal radius.
Diameter?
Still holds.