接点計算

Tangent point coordinate formulas

Finding the tangent point on a circle is common when programming fillets, blending arcs, and computing lead-in/lead-out moves. This calculator finds the point on a circle at a given angle -- the basis for all tangent computations.

• Tangent point 1: X = r×cos(θ), Y = r×sin(θ)
• Tangent point 2: X = r×cos(θ+90 deg ), Y = r×sin(θ+90 deg ) -- perpendicular point
• The line from the tangent point to the circle centre is perpendicular to the tangent line

How to use this Tangent Point Calculator

Enter the circle radius and the angle to the tangent point (from the positive X-axis). The calculator gives the X, Y coordinates of the tangent point and the perpendicular direction. Use these coordinates to program tangential arc entry and exit moves.