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9. Construction of a tangent to a circle using its centre

Working rule to construct a tangent to a circle (Using the centre):

Given the radius of a circle, let us learn how to construct a tangent to the circle using its centre.

Example:

Draw a circle of radius \(3\) \(cm\). Take a point \(P\) on this circle and draw a tangent at \(P\).

Rough Sketch:

Construction:

Step \(1\): Draw a circle with centre at \(O\) of radius \(3\) \(cm\).

Step \(2\): Take a point \(P\) on the circle and join \(OP\).

Step \(3\): Draw perpendicular line \(TT'\) to \(OP\) which passes through \(P\).

Step \(4\): \(TT'\) is the required tangent.

Did you find an error?