Unlocking Tangents: Circle Tangent Line Equation Calculator

Visualize and calculate the tangent line to a circle at any given point. Simply input the circle's parameters and the point coordinates to get started!

Center X

Center Y

Radius

Point on Circle X

Point on Circle Y

Tangent Line Equation:

Enter circle parameters and point to visualize the tangent line.

Understanding Circle Tangent Lines

In geometry, a tangent line to a circle is a straight line that touches the circle at exactly one point, called the point of tangency. The tangent line is always perpendicular to the radius of the circle at this point. This calculator helps you find the equation of this tangent line given the circle's center, radius, and a point on the circle. The equation is typically represented in the slope-intercept form (y = mx + c) or in special cases as vertical lines (x = a) or horizontal lines (y = b). Use this tool to explore and understand the relationship between circles and their tangent lines.