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Tangent Properties. A tangent touches a circle at only one point. A tangent is a straight line that never enters the interior of the circle. The tangent makes a right angle at the point of tangency with the radius of a circle. Tangents drawn from an external point to a circle have the same length.
The tangent has two important properties: A tangent touches a curve at only one point. A tangent is a line that never enters the circle’s interior. The tangent touches the circle’s radius at the point of tangency at a right angle.
In geometry, tangent circles (also known as kissing circles) are circles in a common plane that intersect in a single point. There are two types of tangency: internal and external.
If each side of a polygon is tangent to a circle, the circle is said to be inscribed in the polygon and the polygon is said to be circumscribed about the circle. In Figure \(\PageIndex{7}\) circle 0 is inscribed in quadrilateral \(ABCD\) and \(ABCD\) is circumscribed about circle \(O\).
A line that touches the circle at a single point is known as a tangent to a circle. The point where tangent meets the circle is called point of tangency. The tangent is perpendicular to the radius of the circle, with which it intersects. Tangent can be considered for any curved shapes.
In this explainer, we will learn how to use the properties of tangents of circles to find missing angles or side lengths. Recall that a tangent to a circle is a straight line that passes through exactly one point of the circle.
Tangents of Circles - Point of Tangency, Tangent to a Circle Theorem, Secant, Two-Tangent Theorem, Common Internal and External Tangents, in video lessons with examples and step-by-step solutions.
