Tangent Formula
If we take any point P outside the circle and draw a tangent at point S on the circumference of the circle. Also, take a secant PQR such that QR is the chord of the circle then,
PS2 = PQ.PR
This is also called the Tangent Secant theorem. We also write this theorem as,
(Tangent)2 = Whole Secant × External Secant
Articles related to Tangent to a Circle:
Tangent to a Circle
Tangent in Circles are the line segments that touch the given curve only at one particular point. Tangent is a Greek word meaning “To Touch”. For a circle, we can say that the line which touches the circle from the outside at one single point on the circumference is called the tangent of the circle.
A circle can have many tangents but at a particular point on the circumference of the circle, only one tangent passes through that point on the circle. The tangent to a circle is always perpendicular to the radius of the circle.
In this article, we will learn about tangents to a circle, the equation of tangent, their properties, theorems, and examples.
Read in Detail: Circles
Table of Content
- What is Tangent to a Circle?
- Tangent to a Circle Definition
- Tangent to a Circle
- Point of Tangency
- Equation of Tangent to a Circle
- Condition of Tangency
- Properties of Tangent
- Tangent Theorems
- Tangent Radius Theorem
- Two Tangents Theorem
- Tangent Formula
- Solved Examples on Tangents to a Circle
- Practice Problems on Tangent to a Circle