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Question

What is the construction of tangents to a circle?


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Solution

The construction of tangents to a circle.

Tangent to a circle.

The circle's tangent is a line that touches its circle precisely once. A tangent's point of contact with the circle is known as the tangent's contact point or tangency. At the point of contact, the radius of the circle and the tangent are perpendicular to each other.

Construction of tangent to a Circle:

  • Form a circle with the specified radius and centerO.
  • Combine the circle's center O with any point Pon the circle. The radius of the circle is denoted byOP.
  • Draw a line via a point P that is perpendicular to the radius OP

Hence, The Perpendicular line to the radius OP is the tangent of the circle


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