Tangent Circle Formula

About Tangent Circle Formula

A tangent of a circle is a straight line which only touches the circle at one point. A tangent never penetrates the interior of the circle.

The tangent has 2 important properties:

• A tangent touches a circle at exactly one point on it.
• The tangent touches the circle’s radius at a right angle.

Tangent is a line & to write the equation of a line we need 2 things:

1. Slope (m)
2. A point online

Equation of a tangent to a circle:

1. Tangent to a circle equation x² + y² = a² for a line y = mx +c is given by the equation y = MX ± a √[1+ m2].
2. Tangent to a circle equation x²+ y² = a² at (a₁,b₁)a1,b1) is xa₁a1+yb₁b1= a² Thus, equation of tangent can be given as xa₁+yb₁ = a², where (a₁,b₁)a1,b1) are the coordinates from which the tangent is made. Check out the List of Maths Formulas. 

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