Tangent Secant Theorem Calculator

Calculate the tangent length segment when a secant and tangent intersects from a point outside the circle using this online Tangent Secant Theorem Calculator. A tangent to a circle that intersects exactly in one place i.e radius at 90° angle. If a secant and a tangent of a circle are intersecting outside the circle from a point, then the product of the lengths of the secant and its external segment equals the square of the length of the tangent segment.

Tangent Length Calculator

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Formula:

C =√ E x (A + E) Where, C = Length of Tangent E = Exterior Distance of Secant A = Interior Distance of Secant

Example

Tangent Length using Tangent Secant Theorem
A circle with Exterior Distance of Secant as 6cm and Interior Distance of Secant as 4cm.
Tangent Length = √6 x (4 + 6)
= 7.7459 cm


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