Tangent of a Circle Calculator
Calculate Tangent
Results
Formulas Used
- Distance from point to center = √(x² + y²)
- Tangent length = √(d² - r²)
- Tangent angle = arctan(y/x) ± arccos(r/d)
Where:
r = circle radius
d = distance from point to center
(x,y) = point coordinates
Tangent Length
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units
Tangent Angle
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degrees
Distance to Center
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units
Valid Tangent
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status
About Tangents to a Circle
A tangent to a circle is a straight line that touches the circle at exactly one point. Key properties:
- The tangent is perpendicular to the radius at the point of contact
- From any point outside the circle, exactly two tangents can be drawn
- The lengths of both tangents from a point are equal
- The tangent points form an isosceles triangle with the external point