Tangent Lines to Circles Calc

Tangent Lines to Circles Calculator are mathematics calculator to find angle and length for two lines that are tangent to a circle fast and easy.

Features:
- Instant calculation
- Result are copy able to other app
- Formula are include as reference
- Support up to 16 decimal place
- Support various unit for each input

Two congruent right triangles are formed, since the tangent line is perpendicular to the radius.
So line AB has the same length as line BC.
And the radius AD has the same length as DC.
∠ABC Angle x° = 180° - Angle y°, or
∠ADC Angle y° = 180° - Angle x°

Formula:
Pythagorean theorem
DB = √AD² + AB²

sin (x/2) = DA / DB
cos (x/2) = AB / DB
tan (x/2) = DA / AB


Tangent lines to circles. In Euclidean plane geometry, a tangent line to a circle is a line that touches the circle at exactly one point, never entering the circle's interior. Tangent lines to circles form the subject of several theorems, and play an important role in many geometrical constructions and proofs.


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