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Theorem 1: The tangent makes a right angle at the point of tangency with the radius of a circle. Theorem 2: The lengths of the two tangents drawn from an external point to a circle are equal. What is the tangent-secant formula?
Theorem 1: The tangent to the circle is perpendicular to the radius of the circle at the point of contact. Theorem 2: If two tangents are drawn from an external point of the circle, then they are of equal lengths
Theorem \(\PageIndex{2}\) A line perpendicular to a radius at a point touching the circle must be a tangent. In Figure \(\PageIndex{3}\), if \(OP \perp \overleftrightarrow{AB}\) then \(\overleftrightarrow{AB}\) must be a tangent; that is, \(P\) is the only point at which \(\overleftrightarrow{AB}\) can touch the circle (Figure \(\PageIndex{4}\)).
3 sie 2023 · What is tangent line of a circle with theorems– learn how to find the tangent of a circle with formula and solved examples & general equation of the tangent to a circle
How to use the tangent theorems. In order to use the tangent of a circle: Locate the key parts of the circle for the theorem. Use other angle facts to determine the remaining angle(s) made with the tangent. Use the tangent theorem to state the other missing angle.
A tangent to a circle is a straight line which touches the circle at only one point (so it does not cross the circle- it just touches it). A tangent to a circle forms a right angle with the circle's radius, at the point of contact of the tangent.
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.
