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The tangent of a circle refers to a line that touches a circle at a single point. In the image shown below, the line l is a tangent to the circle with the center C. A straight line that touches or intersects the circle at only one point is called a tangent of the circle. A tangent touches the circle externally. Tangent of a Circle: Definition
In Euclidean plane geometry, a tangent line to a circle is a line that touches the circle at exactly one point, never entering the circle's interior. Tangent lines to circles form the subject of several theorems, and play an important role in many geometrical constructions and proofs. Since the tangent line to a circle at a point P is ...
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. Since tangent is a line, hence it also has its equation.
A tangent touches a circle at exactly one point on it. The tangent touches the circle’s radius at a right angle. What Is Tangent Circle Formula? Let us now learn about the equation of the tangent. Tangent is a line and to write the equation of a line we need two things: 1. Slope (m) 2. A point on the line. General equation of the tangent to a ...
Aug 3, 2023 · In the given figure, there is one tangent and one secant. Given that, PQ = 5 cm, QR = 15 cm. Therefore, PR = PQ + QR = (5 + 15) = 20 cm. Now, according to the formula of the tangent of a circle, SR 2 = PR × QR. SR 2 = 20× 15 = 300 = 17.32 cm. Find the length of the tangent PR if the radius of the given circle is 6 m.
Example 7.3.4. Find x: Solution. By Theorem 7.3.3, AP = BP. So ABP is isosceles with ∠PAB = ∠PBA = 75 ∘. Therefore x ∘ = 90 ∘ − 75 ∘ = 15 ∘. Answer: x = 15. 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.
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Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Tangent Line of a Circle | Desmos
